This page is a copy of research/scientific_computing/former/cad (Wed, 31 Aug 2022 15:00:52)
Computational methods for unsteady Aerodynamics
High order finite difference methods have been developed. We use so called summation-by-parts operators, penalty techniques for implementing boundary and interface conditions, and the energy method for proving stability. We have developed summation-by-parts difference operators for first and second derivatives as well as artificial dissipation operators. The scientific results discussed above have materialized in a three-dimensional, stable high-order, finite-difference multi-block code for the Navier-Stokes equations.
Another line of work deals with the analysis and improvement of finite volume "production codes". In that analysis, we have reused the framework mentioned above for the high order finite difference methods and been able to analyze the most commonly used methodology (by domestic and international industry and national labs) for aerodynamic calculations. Also in the finite volume case, we derived summation-by-parts operators for first and second derivatives as well as suitable artificial dissipation operators.
The above mentioned analysis of the finite difference and finite volume methods prompted the development of a new type of stable hybrid methods, where we combine the advantages of both methods in an efficient and stable way. This development will enable the coupling of finite difference and finite volume methods into a very efficient hybrid code for time-dependent aerodynamics and aeroacoustics.
Another major interest is in boundary conditions for the Euler and Navier-Stokes equations. We have analyzed existing frequently used techniques as well as derived completely new formulations. The boundary conditions have been analyzed to see whether they lead to well-posed and stable approximations.
Future aeronautical applications based on the Navier-Stokes or Euler equations will include more and more multi-physics problem. Typical examples include fluid-structure interaction, flows in accelerating frames, flow induced heat transfer, flows with chemical reactions, etc. The significant computational requirements of coupled systems makes the coupling strategy very important. We are interested in well posedness for multiple equations sets as well as stable numerical coupling procedures.
We will also take into account various kinds of uncertainties related to aerodynamic problems. Typical examples include uncertainties in the geometry of a wing, the speed of the aircraft and the angle of attack. Ultimately, we aim for a computational methodology that delivers an answer with error bars.
The development above have been done in a collaboration with NASA Langley Research Center, Center for Turbulence Research (CTR) at Stanford University, University of the Witwatersrand (WITS) and the Council for Scientific and Industrial Research (CSIR) in South Africa, Nanospace AB, and the Swedish Defence Research Agency (FOI).
Head of group Jan Nordström
Projects
Shock calculations using high order accurate solvers
Computing solutions containing discontinuities such as shock waves, require numerical schemes designed specifically for that purpose. Currently we apply a very high order Euler/Navier Stokes finite difference solver to shock diffraction problems. The code is built on numerical techniques developed during the last decade by Uppsala University and NASA Langley. For an increased accuracy in shock regions, we are looking at the possibilities of implementing shock capturing techniques like the WENO or MUSCL schemes into our linearly stable solver. Further we will consider an extended set of geometries like multi facetted convex walls and cylindrical surfaces, which experimentally have been shown to have numerous interesting flow features. This work is a joint collaboration between Uppsala University, Stanford University (Center for Turbulence Research) and the University of Witwatersrand.
Contact and further information: Qaisar Abbas
Hybrid methods for unsteady aerodynamics
Fluid Structure Interaction (FSI) problems is a typical example of an aeronautical multi-physics problem. It deals with the physics that occur as air interacts with the structure of an aircraft. One of our objectives is to investigate whether the generally accepted formulations of the FSI-problems are the only possible ones. We also aim for a stable numerical coupling. Initial attempts are made on a one-dimensional problem using the linearized Euler equations as the flow model and a spring as a model of the solid part. Later the combination of finite volume methods on unstructured grids and high order finite difference methods on structured grids can be considered to meet the demands of accuracy and the possibility of handling complex geometries. The project is a collaboration with the Council for Scientific and Industrial Research (CSIR) in South Africa and the Center of Turbulence Research (CTR) at Stanford University, USA.
Contact and further information: Sofia Eriksson
Computational methods for heat transfer in micro-mechanical systems
Micro Electro Mechanical Systems (MEMS) refer to devices that have characteristic size scale between one micro- and one millimeter which combine electronic and mechanical components. Over the past 50 years they have provided a vast area of research due to the technological improvements in micro- and nanoscale manufacturing techniques. The goal of this project is to develop numerical methods for simulating heat transfer in a complex geometry microchannel. The results will be used in space applications to improve the efficiency of a gas propulsion system by heating the gas flow which will results in control of the flow rate and higher specific impulse. This is a joint project with Nanospace AB
.
Contact and further information: Jens Berg
Numerical analysis of uncertainties in aerodynamics
Modeling atmospheric dispersion of poisonous agents in urban environment requires accurate numerical methods that can handle a wide range of scenarios. In addition to the existence of potentially very different agents, the physical problem is also assumed to include several kinds of stochastic behavior, such as uncertainty in geometry, initial state and wind direction. A dispersion model for the problem must therefore include various kinds of uncertainty, as well as fulfilling demands on resolution of different scales of time and concentrations. This project is a collaboration between Stanford University (Center for Turbulence Research) and Uppsala University.
Contact and further information: Per Pettersson
Refereed Publications
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A flexible boundary procedure for hyperbolic problems: Multiple penalty terms applied in a domain
. In Communications in Computational Physics, volume 16, pp 541-570, 2014. (DOI
).
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Duality based boundary conditions and dual consistent finite difference discretizations of the Navier–Stokes and Euler equations
. In Journal of Computational Physics, volume 259, pp 135-153, 2014. (DOI
).
-
A stochastic Galerkin method for the Euler equations with Roe variable transformation
. In Journal of Computational Physics, volume 257, pp 481-500, 2014. (DOI
).
-
An intrusive hybrid method for discontinuous two-phase flow under uncertainty
. In Computers & Fluids, volume 86, pp 228-239, 2013. (DOI
).
-
Well-posedness and stability of exact non-reflecting boundary conditions
. In Proc. 21st AIAA CFD Conference, volume 2013-2960 of Conference Proceeding Series, AIAA, 2013. (DOI
).
-
Duality based boundary treatment for the Euler and Navier-Stokes equations
. In Proc. 21st AIAA CFD Conference, volume 2013-2959 of Conference Proceeding Series, AIAA, 2013. (DOI
).
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On stability and monotonicity requirements of finite difference approximations of stochastic conservation laws with random viscosity
. In Computer Methods in Applied Mechanics and Engineering, volume 258, pp 134-151, 2013. (DOI
).
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Conjugate heat transfer for the unsteady compressible Navier–Stokes equations using a multi-block coupling
. In Computers & Fluids, volume 72, pp 20-29, 2013. (DOI
).
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On the impact of boundary conditions on dual consistent finite difference discretizations
. In Journal of Computational Physics, volume 236, pp 41-55, 2013. (DOI
).
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A stable and dual consistent boundary treatment using finite differences on summation-by-parts form
. In Proc. ECCOMAS Congress 2012, pp 7557-7570, Tech. Univ. Wien, Austria, 2012.
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Energy decay of vortices in viscous fluids: an applied mathematics view
. In Journal of Fluid Mechanics, volume 709, pp 593-609, 2012. (DOI
).
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Superconvergent functional output for time-dependent problems using finite differences on summation-by-parts form
. In Journal of Computational Physics, volume 231, pp 6846-6860, 2012. (DOI
).
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Spectral analysis of the continuous and discretized heat and advection equation on single and multiple domains
. In Applied Numerical Mathematics, volume 62, pp 1620-1638, 2012. (DOI
).
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Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations
. In Journal of Computational Physics, volume 231, pp 4867-4884, 2012. (DOI
).
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Interface procedures for finite difference approximations of the advection-diffusion equation
. In Journal of Computational and Applied Mathematics, volume 236, pp 602-620, 2011. (DOI
).
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Stable Robin solid wall boundary conditions for the Navier-Stokes equations
. In Journal of Computational Physics, volume 230, pp 7519-7532, 2011. (DOI
).
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A stable and conservative method for locally adapting the design order of finite difference schemes
. In Journal of Computational Physics, volume 230, pp 4216-4231, 2011. (DOI
).
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Magnetohydrodynamic flow of a Sisko fluid in annular pipe: A numerical study
. In International Journal for Numerical Methods in Fluids, volume 62, pp 1169-1180, 2010. (DOI
).
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Efficiency of shock capturing schemes for Burgers' equation with boundary uncertainty
. In Numerical Mathematics and Advanced Applications: 2009, pp 737-745, Springer-Verlag, Berlin, 2010. (DOI
).
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A stable and high order interface procedure for conjugate heat transfer problems
. In Numerical Mathematics and Advanced Applications: 2009, pp 599-607, Springer-Verlag, Berlin, 2010. (DOI
).
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Energy stability of the MUSCL scheme
. In Numerical Mathematics and Advanced Applications: 2009, pp 61-68, Springer-Verlag, Berlin, 2010. (DOI
).
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Fluid structure interaction problems: the necessity of a well posed, stable and accurate formulation
. In Communications in Computational Physics, volume 8, pp 1111-1138, 2010. (DOI
).
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Numerical methods for uncertainty propagation in high speed flows
. In Proc. ECCOMAS CFD Conference 2010, p 11, Tech. Univ. Lisbon, Portugal, 2010.
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Simulations of acoustic waves in a turbo-fan engine air intake
. In Proc. 16th AIAA/CEAS Aeroacoustics Conference, volume 2010-3999 of Conference Proceeding Series, AIAA, 2010.
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A stable and high-order accurate conjugate heat transfer problem
. In Journal of Computational Physics, volume 229, pp 5440-5456, 2010. (DOI
).
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A computational study of vortex-airfoil interaction using high-order finite difference methods
. In Computers & Fluids, volume 39, pp 1267-1274, 2010. (DOI
).
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Boundary procedures for the time-dependent Burgers' equation under uncertainty
. In Acta Mathematica Scientia, volume 30, pp 539-550, 2010. (DOI
).
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The Effect of Reynolds Number in High Order Accurate Calculations with Shock Diffraction
. In Proc. 7th South African Conference on Computational and Applied Mechanics, pp 416-423, South African Association for Theoretical and Applied Mechanics, 2010. (fulltext:postprint
).
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Weak versus strong no-slip boundary conditions for the Navier-Stokes equations
. In Engineering Applications of Computational Fluid Mechanics, volume 4, pp 29-38, 2010.
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Revisiting and Extending Interface Penalties for Multidomain Summation-by-Parts Operators
. In Journal of Scientific Computing, volume 45, pp 118-150, 2010. (DOI
).
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Measurements and numerical modelling of orifice flow in microchannels
. In Proc. 41st AIAA Thermophysics Conference, volume 2009-4098 of Conference Proceeding Series, AIAA, 2009.
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Accurate and stable calculations involving shocks using a new hybrid scheme
. In Proc. 19th AIAA CFD Conference, volume 2009-3985 of Conference Proceeding Series, AIAA, 2009.
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Analysis of mesh and boundary effects on the accuracy of node-centered finite volume schemes
. In Proc. 19th AIAA CFD Conference, volume 2009-3651 of Conference Proceeding Series, AIAA, 2009.
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The influence of weak and strong solid wall boundary conditions on the convergence to steady-state of the Navier-Stokes equations
. In Proc. 19th AIAA CFD Conference, volume 2009-3551 of Conference Proceeding Series, AIAA, 2009.
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Boundary procedures for the time-dependent stochastic Burgers' equation
. In Proc. 19th AIAA CFD Conference, volume 2009-3550 of Conference Proceeding Series, AIAA, 2009.
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A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
. In Journal of Computational Physics, volume 228, pp 9020-9035, 2009. (DOI
).
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Numerical analysis of the Burgers' equation in the presence of uncertainty
. In Journal of Computational Physics, volume 228, pp 8394-8412, 2009. (DOI
).
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Investigation of acceleration effects on missile aerodynamics using computational fluid dynamics
. In Aerospace Science and Technology, volume 13, pp 197-203, 2009. (DOI
).
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Analysis of the order of accuracy for node-centered finite volume schemes
. In Applied Numerical Mathematics, volume 59, pp 2659-2676, 2009. (DOI
).
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Shock and vortex calculations using a very high order accurate Euler and Navier-Stokes solver
. In Journal of Mechanics and MEMS, volume 1, number 1, pp 19-26, 2009.
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A discontinuous Galerkin extension of the vertex-centered edge-based finite volume method
. In Communications in Computational Physics, volume 5, pp 456-468, 2009.
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A hybrid method for unsteady inviscid fluid flow
. In Computers & Fluids, volume 38, pp 875-882, 2009. (DOI
).
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Simulations of Ground Effects on Wake Vortices at Runways
. In Proc. 6th South African Conference on Computational and Applied Mechanics, pp 101-108, South African Association for Theoretical and Applied Mechanics, 2008.
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CFD in Non-Inertial Frames Applied to an Oscillating Airfoil and a Straked Body
. In Proc. 6th South African Conference on Computational and Applied Mechanics, pp 92-100, South African Association for Theoretical and Applied Mechanics, 2008.
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An accuracy evaluation of unstructured node-centred finite volume methods
. In Applied Numerical Mathematics, volume 58, pp 1142-1158, 2008. (DOI
).
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A stable high-order finite difference scheme for the compressible Navier-Stokes equations: no-slip wall boundary conditions
. In Journal of Computational Physics, volume 227, pp 4805-4824, 2008. (DOI
).
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Accuracy evaluation of the unstructured node-centered finite volume method in aerodynamic computations
. In Proc. 10th ISGG Conference on Numerical Grid Generation, pp 146-158, Curran Associates, Red Hook, NY, 2007.
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Error bounded schemes for time-dependent hyperbolic problems
. In SIAM Journal on Scientific Computing, volume 30, pp 46-59, 2007. (DOI
).
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A stable and efficient hybrid scheme for viscous problems in complex geometries
. In Journal of Computational Physics, volume 226, pp 1291-1309, 2007. (DOI
).
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A stable high-order finite difference scheme for the compressible Navier-Stokes equations: far-field boundary conditions
. In Journal of Computational Physics, volume 225, pp 1020-1038, 2007. (DOI
).
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Boundary conditions for a divergence free velocity-pressure formulation of the Navier-Stokes equations
. In Journal of Computational Physics, volume 225, pp 874-890, 2007. (DOI
).
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High-order accurate computations for unsteady aerodynamics
. In Computers & Fluids, volume 36, pp 636-649, 2007. (DOI
).
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Conservative Finite Difference Formulations, Variable Coefficients, Energy Estimates and Artificial Dissipation
. In Journal of Scientific Computing, volume 29, pp 375-404, 2006. (DOI
).
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High order finite difference methods for wave propagation in discontinuous media
. In Journal of Computational Physics, volume 220, pp 249-269, 2006. (DOI
).
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Accelerating Systems: Some Remarks on Pitch Damping
. In Proc. 5th South African Conference on Computational and Applied Mechanics, pp 268-275, South African Association for Theoretical and Applied Mechanics, 2006.
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On the order of accuracy for difference approximations of initial-boundary value problems
. In Journal of Computational Physics, volume 218, pp 333-352, 2006. (DOI
).
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Stable artificial dissipation operators for finite volume schemes on unstructured grids
. In Applied Numerical Mathematics, volume 56, pp 1481-1490, 2006. (DOI
).
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A stable hybrid method for hyperbolic problems
. In Journal of Computational Physics, volume 212, pp 436-453, 2006. (DOI
).
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An investigation of the performance of a high-order accurate Navier-Stokes code
. In Proc. ECCOMAS CFD Conference 2006, p 11, Tech. Univ. Delft, The Netherlands, 2006.
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Steady-State Computations Using Summation-by-Parts Operators
. In Journal of Scientific Computing, volume 24, pp 79-95, 2005. (DOI
).
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Well-posed boundary conditions for the Navier-Stokes equations
. In SIAM Journal on Numerical Analysis, volume 43, pp 1231-1255, 2005. (DOI
).
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A stable and efficient hybrid method for aeroacoustic sound generation and propagation
. In Comptes rendus. Mecanique, volume 333, pp 713-718, 2005. (DOI
).
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Stability of finite volume approximations for the Laplacian operator on quadrilateral and triangular grids
. In Applied Numerical Mathematics, volume 51, pp 101-125, 2004. (DOI
).
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Stable and Accurate Artificial Dissipation
. In Journal of Scientific Computing, volume 21, pp 57-79, 2004. (DOI
).
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Summation by parts operators for finite difference approximations of second derivatives
. In Journal of Computational Physics, volume 199, pp 503-540, 2004. (DOI
).
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High Order Finite Difference Approximations of Electromagnetic Wave Propagation Close to Material Discontinuities
. In Journal of Scientific Computing, volume 18, pp 215-234, 2003. (DOI
).
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Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
. In Applied Numerical Mathematics, volume 45, pp 453-473, 2003. (DOI
).
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Accuracy requirements for transient aerodynamics
. In Proc. 16th AIAA CFD Conference, volume 2003-3689 of Conference Proceeding Series, AIAA, 2003.
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Analysis of extrapolation boundary conditions for the linearized Euler equations
. In Applied Numerical Mathematics, volume 44, pp 95-108, 2003. (DOI
).
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High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates
. In Journal of Computational Physics, volume 173, pp 149-174, 2001. (DOI
).
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Finite volume approximations and strict stability for hyperbolic problems
. In Applied Numerical Mathematics, volume 38, pp 237-255, 2001. (DOI
).
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Model problems and the analysis of boundary procedures in CFD
. In Absorbing Boundaries and Layers, Domain Decomposition Methods: Applications to Large Scale Computers, pp 109-117, Nova Science Publishers, Huntington, NY, 2001.
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Elimination of first order errors in shock calculations
. In SIAM Journal on Numerical Analysis, volume 38, pp 1986-1998, 2001. (DOI
).
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Global artificial boundary conditions for computation of external flows with jets
. In AIAA Journal, volume 38, pp 2014-2022, 2000.
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The fringe region technique and the Fourier method used in the direct numerical simulation of spatially evolving viscous flows
. In SIAM Journal on Scientific Computing, volume 20, pp 1365-1393, 1999. (DOI
).
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Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations
. In Journal of Computational Physics, volume 148, pp 621-645, 1999. (DOI
).
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A stable and conservative interface treatment of arbitrary spatial accuracy
. In Journal of Computational Physics, volume 148, pp 341-365, 1999. (DOI
).
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On flux-extrapolation at supersonic outflow boundaries
. Jan Nordström. In Applied Numerical Mathematics, volume 30, pp 447-457, 1999.
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On extrapolation procedures at artificial outflow boundaries for the time-dependent Navier-Stokes equations
. Jan Nordström. In Applied Numerical Mathematics, volume 23, pp 457-468, 1997.
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Accurate solutions of the Navier-Stokes equations despite unknown outflow boundary data
. Jan Nordström. In Journal of Computational Physics, volume 120, pp 184-205, 1995.
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The use of characteristic boundary conditions for the Navier-Stokes equations
. Jan Nordström. In Computers & Fluids, volume 24, pp 609-623, 1995.
- Extrapolation procedures for the time-dependent Navier-Stokes equations. Jan Nordström. In AIAA Journal, volume 30, pp 1654-1656, 1992.
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Extrapolation procedures at outflow boundaries for the Navier-Stokes equations
. In Computing Methods in Applied Sciences and Engineering, pp 136-151, SIAM, Philadelphia, PA, 1990.
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The influence of open boundary conditions on the convergence to steady state for the Navier-Stokes equations
. Jan Nordström. In Journal of Computational Physics, volume 85, pp 210-244, 1989.
Theses
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Uncertainty Quantification and Numerical Methods for Conservation Laws
. Ph.D. thesis, Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology nr 1008, Acta Universitatis Upsaliensis, Uppsala, 2013. (fulltext
).
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Stable and High-Order Finite Difference Methods for Multiphysics Flow Problems
Stabila finita differensmetoder med hög noggrannhetsordning för multifysik- och flödesproblem
. Ph.D. thesis, Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology nr 1004, Acta Universitatis Upsaliensis, Uppsala, 2013. (fulltext
).
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Stable Numerical Methods with Boundary and Interface Treatment for Applications in Aerodynamics
. Ph.D. thesis, Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology nr 985, Acta Universitatis Upsaliensis, Uppsala, 2012. (fulltext
).
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Weak Boundary and Interface Procedures for Wave and Flow Problems
. Ph.D. thesis, Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology nr 862, Acta Universitatis Upsaliensis, Uppsala, 2011. (fulltext
).
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Hybrid Methods for Unsteady Fluid Flow Problems in Complex Geometries
. Ph.D. thesis, Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology nr 374, Acta Universitatis Upsaliensis, Uppsala, 2007. (fulltext
).
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Stable High-Order Finite Difference Methods for Aerodynamics
Stabila högordnings finita differensmetoder för aerodynamik
. Ph.D. thesis, Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology nr 1026, Acta Universitatis Upsaliensis, Uppsala, 2004. (fulltext
).
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Summation-by-Parts Operators for High Order Finite Difference Methods
. Ph.D. thesis, Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology nr 828, Acta Universitatis Upsaliensis, Uppsala, 2003. (fulltext
).
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Artificial Boundary Conditions for the Navier–Stokes Equations
. Ph.D. thesis, Comprehensive summaries of Uppsala dissertations from the Faculty of Science nr 449, Acta Universitatis Upsaliensis, Uppsala, 1993.
Technical Reports
-
Duality based boundary conditions and dual consistent finite difference discretizations of the Navier–Stokes and Euler equations
. Technical report / Department of Information Technology, Uppsala University nr 2013-013, 2013. (fulltext
).
-
An intrusive hybrid method for discontinuous two-phase flow under uncertainty
. Technical report / Department of Information Technology, Uppsala University nr 2012-035, 2012. (fulltext
).
-
A stochastic Galerkin method for the Euler equations with Roe variable transformation
. Technical report / Department of Information Technology, Uppsala University nr 2012-033, 2012. (fulltext
).
-
Exact non-reflecting boundary conditions revisited: well-posedness and stability
. Technical report / Department of Information Technology, Uppsala University nr 2012-032, 2012. (fulltext
).
-
On stability and monotonicity requirements of discretized stochastic conservation laws with random viscosity
. Technical report / Department of Information Technology, Uppsala University nr 2012-028, 2012. (fulltext
).
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On the impact of boundary conditions on dual consistent finite difference discretizations
. Technical report / Department of Information Technology, Uppsala University nr 2012-025, 2012. (fulltext
).
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A Roe variable based chaos method for the Euler equations under uncertainty
. Technical report / Department of Information Technology, Uppsala University nr 2012-021, 2012. (fulltext
).
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A stable and dual consistent boundary treatment using finite differences on summation-by-parts form
. Technical report / Department of Information Technology, Uppsala University nr 2012-014, 2012. (fulltext
).
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Superconvergent functional output for time-dependent problems using finite differences on summation-by-parts form
. Technical report / Department of Information Technology, Uppsala University nr 2012-004, 2012. (fulltext
).
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A weak boundary procedure for high order finite difference approximations of hyperbolic problems
. Technical report / Department of Information Technology, Uppsala University nr 2011-019, 2011. (fulltext
).
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Stable Robin boundary conditions for the Navier-Stokes equations
. Technical report / Department of Information Technology, Uppsala University nr 2011-012, 2011. (External link
, fulltext
).
-
Spectral analysis of the continuous and discretized heat and advection equation on single and multiple domains
. Technical report / Department of Information Technology, Uppsala University nr 2010-030, 2010. (External link
, fulltext
).
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Interaction of waves with frictional interfaces using summation-by-parts difference operators II: Extension to full elastodynamics
. Technical report / Department of Information Technology, Uppsala University nr 2010-018, 2010. (External link
, fulltext
).
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Interaction of waves with frictional interfaces using summation-by-parts difference operators I: Weak enforcement of nonlinear boundary conditions
. Technical report / Department of Information Technology, Uppsala University nr 2010-017, 2010. (External link
, fulltext
).
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A stable and high order accurate conjugate heat transfer problem
. Technical report / Department of Information Technology, Uppsala University nr 2009-027, 2009. (External link
, fulltext
).
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Revisiting and extending interface penalties for multi-domain summation-by-parts operators
. Technical report / Department of Information Technology, Uppsala University nr 2009-014, 2009. (fulltext
).
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Well Posed, Stable and Weakly Coupled Fluid Structure Interaction Problems
. Technical report / Department of Information Technology, Uppsala University nr 2009-011, 2009. (fulltext
).
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Analysis of the order of accuracy for node-centered finite volume schemes
. Technical report / Department of Information Technology, Uppsala University nr 2009-009, 2009. (fulltext
).
-
A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
. Technical report / Department of Information Technology, Uppsala University nr 2009-006, 2009. (External link
, fulltext
).
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Numerical analysis of Burgers' equation with uncertain boundary conditions using the stochastic Galerkin method
. Technical report / Department of Information Technology, Uppsala University nr 2008-011, 2008. (fulltext
).
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A Hybrid Method for the Unsteady Compressible Navier-Stokes Equations
. Technical report / Department of Information Technology, Uppsala University nr 2007-029, 2007. (fulltext
).
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A Hybrid Method for Unsteady Fluid Flow
. Technical report / Department of Information Technology, Uppsala University nr 2007-020, 2007. (fulltext
).
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Simulations of Ground Effects on Wake Vortices at Runways
. Technical report / Department of Information Technology, Uppsala University nr 2007-019, 2007. (fulltext
).
-
A Stable and Efficient Hybrid Scheme for Viscous Problems in Complex Geometries
. Technical report / Department of Information Technology, Uppsala University nr 2007-002, 2007. (fulltext
).
-
Error bounded schemes for time-dependent hyperbolic problems
. Technical report / Department of Information Technology, Uppsala University nr 2006-027, 2006. (fulltext
).
-
Boundary Conditions for a Divergence Free Velocity-Pressure Formulation of the Incompressible Navier-Stokes Equations
. Technical report / Department of Information Technology, Uppsala University nr 2006-026, 2006. (fulltext
).
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Stable, Accurate and Efficient Interface Procedures for Viscous Problems
. Technical report / Department of Information Technology, Uppsala University nr 2006-019, 2006. (fulltext
).
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Boundary Conditions for a Divergence Free Velocity-Pressure Formulation of the Incompressible Navier-Stokes Equations
. Technical report / Department of Information Technology, Uppsala University nr 2005-031, 2005. (fulltext
).
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Stable Artificial Dissipation Operators for Finite Volume Schemes on Unstructured Grids
. NIA Report nr 2005-05, National Institute of Aerospace, Hampton, VA, 2005.
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An Accuracy Evaluation of Unstructured Node-Centred Finite Volume Methods
. NIA Report nr 2005-04, National Institute of Aerospace, Hampton, VA, 2005.
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On the Order of Accuracy for Difference Approximations of Initial-Boundary Value Problems
. Technical report / Department of Information Technology, Uppsala University nr 2004-040, 2004. (fulltext
).
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A Stable Hybrid Method for Hyperbolic Problems
. Technical report / Department of Information Technology, Uppsala University nr 2004-039, 2004. (fulltext
).
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Well Posed Boundary Conditions for the Navier-Stokes Equations
. Technical report / Department of Information Technology, Uppsala University nr 2003-052, 2003. (fulltext
).
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Steady State Computations Using Summation-by-Parts Operators
. Technical report / Department of Information Technology, Uppsala University nr 2003-018, 2003. (fulltext
).
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Stable Artificial Dissipation Operators for High Order Finite Difference Schemes
. Technical report / Department of Information Technology, Uppsala University nr 2003-013, 2003. (fulltext
).
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Finite Difference Approximations of Second Derivatives on Summation by Parts Form
. Technical report / Department of Information Technology, Uppsala University nr 2003-012, 2003. (fulltext
).
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A Stable and Accurate Summation-by-Parts Finite Volume Formulation of the Laplacian Operator
. Technical report / Department of Information Technology, Uppsala University nr 2003-003, 2003. (fulltext
).
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Accuracy Requirements for Steady and Transient Aerodynamics
. Technical report / Department of Information Technology, Uppsala University nr 2002-035, 2002. (fulltext
).
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Stable and accurate artificial dissipation
. Technical report / Department of Information Technology, Uppsala University nr 2002-003, 2002. (fulltext
).