High order (HO) schemes are attractive candidates for the numerical solution of multiscale
problems occurring in fluid dynamics and related disciplines. Among the HO discretization …

We present an hp-adaptive discretization for a sharp interface model with a level-set ghost-
fluid method to simulate compressible multiphase flows. The scheme applies an efficient p …

In this paper, we use an implicit two-derivative deferred correction time discretization
approach and combine it with a spatial discretization of the discontinuous Galerkin spectral …

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 …

The under integration of the volume terms in the discontinuous Galerkin spectral element
approximation introduces errors at non-conforming element faces that do not cancel and …

In recent decades, the arbitrary Lagrangian–Eulerian (ALE) approach has been one of the
most popular choices to deal with the fluid flows having moving boundaries. The ALE finite …

Abstract The isothermal Navier-Stokes-Korteweg system is a classical diffuse interface
model for compressible two-phase flow which grounds in Van Der Waals' theory of …

The effect of curved-boundary representation on the physics of the separated flow over a
NACA 65 (1)-412 airfoil is thoroughly investigated. A method is presented to approximate …

Several types of simultaneous approximation term (SAT) for diffusion problems discretized
with diagonal-norm multidimensional summation-by-parts (SBP) operators are analyzed …

We investigate the influence of uncertain input parameters on the aeroacoustic feedback of
cavity flows. The so-called Rossiter feedback requires a direct numerical computation of the …