A quasi-conservative DG-ALE method for multi-component flows using the non-oscillatory kinetic flux

by   Dongmi Luo, et al.

A high-order quasi-conservative discontinuous Galerkin (DG) method is proposed for the numerical simulation of compressible multi-component flows. A distinct feature of the method is a predictor-corrector strategy to define the grid velocity. A Lagrangian mesh is first computed based on the flow velocity and then used as an initial mesh in a moving mesh method (the moving mesh partial differential equation or MMPDE method ) to improve its quality. The fluid dynamic equations are discretized in the direct arbitrary Lagrangian-Eulerian framework using DG elements and the non-oscillatory kinetic flux while the species equation is discretized using a quasi-conservative DG scheme to avoid numerical oscillations near material interfaces. A selection of one- and two-dimensional examples are presented to verify the convergence order and the constant-pressure-velocity preservation property of the method. They also demonstrate that the incorporation of the Lagrangian meshing with the MMPDE moving mesh method works well to concentrate mesh points in regions of shocks and material interfaces.



page 23

page 25

page 31

page 32

page 34

page 37


A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux

In this paper, a high order quasi-conservative discontinuous Galerkin (D...

An Adaptive ALE Scheme for Non-Ideal Compressible-Fluid Dynamics over Dynamic Unstructured Meshes

This paper investigates the application of mesh adaptation techniques in...

Scalable and modular material point method for large-scale simulations

In this paper, we describe a new scalable and modular material point met...

Moving Mesh with Streamline Upwind Petrov-Galerkin (MM-SUPG) Method for Convection-Diffusion Problems

We investigate the effect of the streamline upwind Petrov-Galerkin metho...

Multimaterial Front Tracking

We present the first triangle mesh-based technique for tracking the evol...

Quasi-linear analysis of dispersion relation preservation for nonlinear schemes

In numerical simulations of complex flows with discontinuities, it is ne...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.