Implicit shock tracking for unsteady flows by the method of lines

Abstract

We present an extension of the recently developed high-order implicit shock tracking (HOIST) framework for resolving discontinuous solutions of inviscid, steady conservation laws. Using the method of lines, our schemes can handle unsteady flows with moving shocks, using time-accurate integration and moving meshes than align with the discontinuities. The techniques are demonstrated on various test problems with high-speed flow physics.

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