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 …

A theoretical analysis of the entropy conservation properties is conducted to explain the
different behaviors of the non-dissipative finite-difference spatial discretization schemes …

Microfluidics technology has grown rapidly over the past decades due to its high surface-to-
volume ratios, flow controllability, and length scales efficiently suited for interacting with …

Recently, it was discovered that the entropy-conserving/dissipative high-order split-form
discontinuous Galerkin discretizations have robustness issues when trying to solve the …

High-order accurate kinetic energy and entropy preserving (KEEP) schemes in generalized
curvilinear coordinates are proposed for stable and non-dissipative numerical simulations …

Many modern discontinuous Galerkin (DG) methods for conservation laws make use of
summation by parts operators and flux differencing to achieve kinetic energy preservation or …

We analyze the conservation properties of various discretizations of the system of
compressible Euler equations for shock-free flows, with special focus on the treatment of the …

In the present study, we investigate the compressibility effects in supersonic and hypersonic
turbulent boundary layers under the influence of wall disturbances by exploiting direct …

The spectral characteristics of split convective forms for compressible flows in finite
difference methods are studied. It has been widely argued that the split forms are capable of …

Numerical simulations of compressible turbulent flows governed by real-gas equations of
state, such as high-pressure transcritical flows, are strongly susceptible to instabilities. In …