We present an efficient discontinuous Galerkin scheme for simulation of the incompressible
Navier–Stokes equations including laminar and turbulent flow. We consider a semi-explicit …

The present paper deals with the numerical solution of the incompressible Navier–Stokes
equations using high-order discontinuous Galerkin (DG) methods for discretization in space …

The accurate numerical simulation of turbulent incompressible flows is a challenging topic in
computational fluid dynamics. For discretisation methods to be robust in the underresolved …

Accurate methods to solve the Reynolds-Averaged Navier-Stokes (RANS) equations
coupled to turbulence models are still of great interest, as this is often the only …

Variable stepsize, variable order (VSVO) methods have limited impact in timestepping
methods in complex applications due to their computational complexity and the difficulty in …

We present a discontinuous Galerkin method for melting/solidification problems based on
the “linearized enthalpy approach,” which is derived from the conservative form of the …

In this work, we present a high‐order discontinuous Galerkin method (DGM) for simulating
variable density flows at low Mach numbers. The corresponding low Mach number …

This paper investigates the competitiveness of semi‐implicit Runge‐Kutta (RK) and spectral
deferred correction (SDC) time‐integration methods up to order six for incompressible …

The scientific study of multi-phase flows is a challenging task for analytical and experimental
works. Thus, sophisticated and specialized numerical methods are in need for the direct …

This work presents three algorithms for the level set modeling of phase boundaries. The
application of these algorithms are high-order extended discontinuous Galerkin methods for …