167 citations · 598 across the 41 of their papers we have counts for
42 papers
High order entropy stable schemes for the quasi-one-dimensional shallow water and compressible Euler equations
Jesse Chan, Khemraj Shukla, Xinhui Wu +2
High order schemes are known to be unstable in the presence of shock discontinuities or under-resolved solution features for nonlinear conservation laws. Entropy stable schemes add…
High order entropy stable discontinuous Galerkin spectral element methods through subcell limiting
Yimin Lin, Jesse Chan
Subcell limiting strategies for discontinuous Galerkin spectral element methods do not provably satisfy a semi-discrete cell entropy inequality. In this work, we introduce an exten…
High-Order Methods for Hypersonic Flows with Strong Shocks and Real Chemistry
Ahmad Peyvan, Khemraj Shukla, Jesse Chan +1
We compare high-order methods including spectral difference (SD), flux reconstruction (FR), the entropy-stable discontinuous Galerkin spectral element method (ES-DGSEM), modal disc…
On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows
Jesse Chan, Hendrik Ranocha, Andres Rueda-Ramirez +2
High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can…
Entropy-Stable Gauss Collocation Methods for Ideal Magneto-Hydrodynamics
Andrés M Rueda-Ramírez, Florian J Hindenlang, Jesse Chan +1
In this paper, we present an entropy-stable Gauss collocation discontinuous Galerkin (DG) method on 3D curvilinear meshes for the GLM-MHD equations: the single-fluid magneto-hydrod…
A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations
Yimin Lin, Jesse Chan, Ignacio Tomas
High-order entropy-stable discontinuous Galerkin methods for the compressible Euler and Navier-Stokes equations require the positivity of thermodynamic quantities in order to guara…