Technical Report 2001-003

Adaptive Iteration to Steady State of Flow Problems

Karl Hörnell and Per Lötstedt

February 2001

Runge-Kutta time integration is used to reach the steady state solution of discretized partial differential equations. Continuous and discrete parameters in the method are adapted to the particular problem by minimizing the residual in each step, if this is possible. Algorithms for parameter optimization are devised and analyzed. Solutions of the nonlinear Euler and Navier-Stokes equations for compressible flow illustrate the methods.

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