Tracking of free interfaces in two-phase and multi-phase fluids is a critical step in
computational fluid dynamics. Among the many methods, because of no need for …

Purpose The purpose of this paper is to develop an effective numerical algorithm for a gas-
melt two-phase flow and use it to simulate a polymer melt filling process. Moreover, the …

This paper proposes a discontinuous Galerkin method to solve the generalized Sobolev
equation. In this numerical procedure, the temporal variable has been discretized by the …

Purpose The current paper aims to develop a reduced order discontinuous Galerkin method
for solving the generalized Swift–Hohenberg equation with application in biological science …

A kind of Y‐shaped bionic microchannel (YBMC) heat sink is proposed and designed based
on bionic concept and constructal law. A discontinuous Galerkin finite element method is …

In marine offshore engineering, cost‐efficient simulation of unsteady water waves and their
nonlinear interaction with bodies are important to address a broad range of engineering …

This paper presents a simple and highly accurate method for capturing sharp interfaces
moving in divergence-free velocity fields using the high-order Flux Reconstruction approach …

We formulate a numerical framework, in both 2d and 3d, to model the structural patterns
emerging from creeping viscous flow typically encountered in long‐term ductile lithospheric …

We present a performance portable solver workflow for developing multiphase flow
simulations based on the OP2 domain-specific language. The workflow brings together the …

In this paper we consider a level set reinitialization technique based on a high-order, local
discontinuous Galerkin method on unstructured triangular meshes. A finite volume based …