Implicit shock tracking for unsteady flows by the method of lines

•Implicit shock tracking for high-order accurate resolution of discontinuities.•DG solution on discontinuity-aligned mesh is the solution of an optimization problem.•ALE formulation to handle deforming mesh as it tracks the shock.•Method of lines discretization for unsteady conservation laws via DIR...

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Veröffentlicht in:	Journal of computational physics 2022-04, Vol.454 (C), p.110906, Article 110906
Hauptverfasser:	Shi, A., Persson, P.-O., Zahr, M.J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Computational physics Conservation laws Discontinuity Discontinuous Galerkin High-order methods High-speed flows Method of lines Optimization Runge-Kutta method Shock fitting Shock tracking Stabilization Tracking Unsteady flow
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