A novel robust strategy for discontinuous Galerkin methods in computational fluid mechanics: Why? When? What? Where?
GJ Gassner, AR Winters - Frontiers in Physics, 2021 - frontiersin.org
In this paper we will review a recent emerging paradigm shift in the construction and
analysis of high order Discontinuous Galerkin methods applied to approximate solutions of …
analysis of high order Discontinuous Galerkin methods applied to approximate solutions of …
Relaxation Runge--Kutta methods: Fully discrete explicit entropy-stable schemes for the compressible Euler and Navier--Stokes equations
The framework of inner product norm preserving relaxation Runge--Kutta methods [DI
Ketcheson, SIAM J. Numer. Anal., 57 (2019), pp. 2850--2870] is extended to general convex …
Ketcheson, SIAM J. Numer. Anal., 57 (2019), pp. 2850--2870] is extended to general convex …
High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: Scalable …
This work reports on the performances of a fully-discrete hp-adaptive entropy stable
discontinuous collocated Galerkin method for the compressible Naiver–Stokes equations …
discontinuous collocated Galerkin method for the compressible Naiver–Stokes equations …
On the robustness and performance of entropy stable collocated discontinuous Galerkin methods
In computational fluid dynamics, the demand for increasingly multidisciplinary reliable
simulations, for both analysis and design optimization purposes, requires transformational …
simulations, for both analysis and design optimization purposes, requires transformational …
Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier–Stokes equations
Recently, relaxation methods have been developed to guarantee the preservation of a
single global functional of the solution of an ordinary differential equation. Here, we …
single global functional of the solution of an ordinary differential equation. Here, we …
[HTML][HTML] Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics
J Nordström - Journal of Computational Physics, 2024 - Elsevier
We derive new boundary conditions and implementation procedures for nonlinear initial
boundary value problems (IBVPs) with non-zero boundary data that lead to bounded …
boundary value problems (IBVPs) with non-zero boundary data that lead to bounded …
Entropy stable h/p-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier–Stokes equations
In this paper, we extend the entropy conservative/stable algorithms presented by Del Rey
Fernández et al.(2019) for the compressible Euler and Navier–Stokes equations on …
Fernández et al.(2019) for the compressible Euler and Navier–Stokes equations on …
High order discontinuous Galerkin simulation of hypersonic shock-boundary layer interaction using subcell limiting approach
Numerical simulation of shock-boundary layer interactions in the hypersonic regime has for
long been a challenge, plagued by high sensitivity of the surface predictions to grid and …
long been a challenge, plagued by high sensitivity of the surface predictions to grid and …
Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations
Entropy stable schemes ensure that physically meaningful numerical solutions also satisfy a
semi-discrete entropy inequality under appropriate boundary conditions. In this work, we …
semi-discrete entropy inequality under appropriate boundary conditions. In this work, we …
Construction of modern robust nodal discontinuous Galerkin spectral element methods for the compressible Navier–Stokes equations
Discontinuous Galerkin (DG) methods have a long history in computational physics and
engineering to approximate solutions of partial differential equations due to their high-order …
engineering to approximate solutions of partial differential equations due to their high-order …