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math.NA2023
Adaptive model reduction of high-order solutions of compressible flows via optimal transport
R. Loek Van Heyningen, Ngoc Cuong Nguyen, Patrick Blonigan +1
The solution of conservation laws with parametrized shock waves presents challenges for both high-order numerical methods and model reduction techniques. We introduce an r-adaptivi…
math.NA2023★ 1 cited
Optimal transport for mesh adaptivity and shock capturing of compressible flows
Ngoc Cuong Nguyen, R. Loek Van Heyningen, Jordi Vila-Perez +1
We present an optimal transport approach for mesh adaptivity and shock capturing of compressible flows. Shock capturing is based on a viscosity regularization of the governing equa…