350 citations · 1.2k across the 53 of their papers we have counts for
6 papers · 2 filters
A Flux-Differencing Formula for Split-Form Summation By Parts Discretizations of Non-Conservative Systems: Applications to Subcell Limiting for magneto-hydrodynamics
Andrés M Rueda-Ramírez, Gregor J Gassner
In this paper, we show that diagonal-norm summation by parts (SBP) discretizations of general non-conservative systems of hyperbolic balance laws can be rewritten as a finite-volum…
On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics
Hendrik Ranocha, Andrew R. Winters, Hugo Guillermo Castro +4
We study temporal step size control of explicit Runge-Kutta methods for compressible computational fluid dynamics (CFD), including the Navier-Stokes equations and hyperbolic system…
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…
On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems II: Entropy Bounded Formulations for Nonlinear Conservation Laws
David A. Kopriva, Gregor J. Gassner, Jan Nordstrom
We derive entropy conserving and entropy dissipative overlapping domain formulations for systems of nonlinear hyperbolic equations in conservation form, such as would be approximat…
Subcell limiting strategies for discontinuous Galerkin spectral element methods
Andrés M. Rueda-Ramírez, Will Pazner, Gregor J. Gassner
We present a general family of subcell limiting strategies to construct robust high-order accurate nodal discontinuous Galerkin (DG) schemes. The main strategy is to construct comp…