167 citations · 598 across the 41 of their papers we have counts for
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Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations
Jesse Chan, Yimin Lin, Tim Warburton
Entropy stable schemes ensure that physically meaningful numerical solutions also satisfy a semi-discrete entropy inequality under appropriate boundary conditions. In this work, we…
A high order discontinuous Galerkin method for the symmetric form of the anisotropic viscoelastic wave equation
Khemraj Shukla, Jesse Chan, Maarten V. de Hoop
Wave propagation in real media is affected by various non-trivial physical phenomena, e.g., anisotropy, an-elasticity and dissipation. Assumptions on the stress-strain relationship…
Entropy stable discontinuous Galerkin methods for nonlinear conservation laws on networks and multi-dimensional domains
Xinhui Wu, Jesse Chan
We present a high-order entropy stable discontinuous Galerkin (ESDG) method for nonlinear conservation laws on both multi-dimensional domains and on networks constructed from one-d…
High order weight-adjusted discontinuous Galerkin methods for wave propagation on moving curved meshes
Kaihang Guo, Jesse Chan
This paper presents high order accurate discontinuous Galerkin (DG) methods for wave problems on moving curved meshes with general choices of basis and quadrature. The proposed met…
Efficient computation of Jacobian matrices for entropy stable summation-by-parts schemes
Jesse Chan, Christina G. Taylor
Entropy stable schemes replicate an entropy inequality at the semi-discrete level. These schemes rely on an algebraic summation-by-parts (SBP) structure and a technique referred to…
Mortar-based entropy-stable discontinuous Galerkin methods on non-conforming quadrilateral and hexahedral meshes
Jesse Chan, Mario J. Bencomo, David C. Del Rey Fernández
High-order entropy-stable discontinuous Galerkin (DG) methods for nonlinear conservation laws reproduce a discrete entropy inequality by combining entropy conservative finite volum…