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 …

In this paper, we develop a fully discrete entropy preserving ADER-Discontinuous Galerkin
(ADER-DG) method. To obtain this desired result, we equip the space part of the method …

This work reports on the performances of a fully-discrete hp-adaptive entropy stable
discontinuous collocated Galerkin method for the compressible Naiver–Stokes equations …

In computational fluid dynamics, the demand for increasingly multidisciplinary reliable
simulations, for both analysis and design optimization purposes, requires transformational …

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 …

We present a novel technique for the imposition of non-linear entropy conservative and
entropy stable solid wall boundary conditions for the compressible Navier–Stokes equations …

The entropy conservative/stable staggered grid tensor-product algorithm of Parsani et al.[1]
is extended to multidimensional SBP discretizations. The required SBP preserving …

Industrially relevant computational fluid dynamics simulations frequently require vast
computational resources that are only available to governments, wealthy corporations, and …

We develop a novel entropy–stable discontinuous Galerkin approximation of the
incompressible Navier–Stokes/Cahn–Hilliard system for p–non–conforming elements. This …

Computational fluid dynamics and aerodynamics, which complement more expensive
empirical approaches, are critical for developing aerospace vehicles. During the past three …