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[02248] Remedies for entropy growth from iterative methods in CFD

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @E604
  • Type : Contributed Talk
  • Abstract : We explore the influence of iterative methods on entropy-conserving and dissipative discretizations of nonlinear conservation laws with implicit time discretizations. Newton's method can cause entropy dissipative schemes to become anti-dissipative, even with smaller iteration errors than time integration errors. We suggest various remedies and find a relaxation technique to be the most effective. Numerical experiments with dispersive wave equations demonstrate that entropy conservation produces more accurate results than non-conservative schemes, even with larger tolerances.
  • Classification : 65M12, 65N22, 65H10, 65F10
  • Format : Talk at Waseda University
  • Author(s) :
    • Viktor Linders (Lund University)
    • Philipp Birken (Lund University)