Fisher and Carpenter (High-order entropy stable finite difference schemes for non-linear conservation laws: Finite domains, Journal of Computational Physics, 252:518–557, 2013) found a remarkable equivalence of general diagonal norm high-order summation-by- parts operators to a subcell based high-order finite volume formulation. This equivalence enables the construction of provably entropy stable schemes by a specific choice of the sub-cell finite volume flux. We show that besides the construction of entropy stable high order schemes, a careful choice of subcell finite volume fluxes generates split formulations of quadratic or cubic terms. Thus, by changing the subcell finite volume flux to a specific choice, we are able to generate, in a s...
In this work a non-conservative balance law formulation is considered that encompasses the rotating,...
International audienceAbstract We present an entropy stable Discontinuous Galerkin (DG) finite eleme...
We present a provably stable discontinuous Galerkin spectral element method for the incompressible N...
The main result in this paper is a provably entropy stable shock capturing approach for the high ord...
Recently, it was discovered that the entropy-conserving/dissipative high-order split-form discontinu...
Recently, it was discovered that the entropy-conserving/dissipative high-order split-form discontinu...
Gassner et al. (Split form nodal discontinuous Galerkin schemes with summation - by - parts property...
High order methods based on diagonal-norm summation by parts operators can be shown to satisfy a dis...
The focus of the present research is on the analysis of local energy stability of high-order (includ...
The focus of the present research is on the analysis of local linear stability of high-order (includ...
The two decades old high order central differencing via entropy splitting and summation-by-parts (SB...
This work focuses on the accuracy and stability of high-order nodal discontinuous Galerkin (DG) meth...
We present a general family of subcell limiting strategies to construct robust high-order accurate n...
We present a general family of subcell limiting strategies to construct robust high-order accurate n...
The aim of this paper is to investigate the behavior of a high-order accurate Discontinuous Galerkin...
In this work a non-conservative balance law formulation is considered that encompasses the rotating,...
International audienceAbstract We present an entropy stable Discontinuous Galerkin (DG) finite eleme...
We present a provably stable discontinuous Galerkin spectral element method for the incompressible N...
The main result in this paper is a provably entropy stable shock capturing approach for the high ord...
Recently, it was discovered that the entropy-conserving/dissipative high-order split-form discontinu...
Recently, it was discovered that the entropy-conserving/dissipative high-order split-form discontinu...
Gassner et al. (Split form nodal discontinuous Galerkin schemes with summation - by - parts property...
High order methods based on diagonal-norm summation by parts operators can be shown to satisfy a dis...
The focus of the present research is on the analysis of local energy stability of high-order (includ...
The focus of the present research is on the analysis of local linear stability of high-order (includ...
The two decades old high order central differencing via entropy splitting and summation-by-parts (SB...
This work focuses on the accuracy and stability of high-order nodal discontinuous Galerkin (DG) meth...
We present a general family of subcell limiting strategies to construct robust high-order accurate n...
We present a general family of subcell limiting strategies to construct robust high-order accurate n...
The aim of this paper is to investigate the behavior of a high-order accurate Discontinuous Galerkin...
In this work a non-conservative balance law formulation is considered that encompasses the rotating,...
International audienceAbstract We present an entropy stable Discontinuous Galerkin (DG) finite eleme...
We present a provably stable discontinuous Galerkin spectral element method for the incompressible N...