A two-way coupled Euler-Lagrange method for simulating multiphase flows with discontinuous Galerkin schemes on arbitrary curved elements

JOURNAL OF COMPUTATIONAL PHYSICS

卷:405

Article

Ching, Eric J.¹  Brill, Steven R.²  Barnhardt, Michael³  Ihme, Matthias¹ 

[1] Stanford Univ, Dept Mech Engn, Stanford, CA 94305 USA

[2] Stanford Univ, Inst Computat & Math Engn, Stanford, CA 94305 USA

[3] NASA, Ames Res Ctr, Mountain View, CA 94035 USA

关键词: Discontinuous Galerkin method;    Lagrangian particle tracking;    Particle-laden flow;    Hypersonic flow;    Curved elements;    Dusty flow;   

DOI  :  10.1016/j.jcp.2019.109096

来源: Elsevier

【 摘 要 】

In this work, we develop a Lagrangian point-particle method to support high-speed dusty flow simulations with discontinuous Galerkin schemes. The carrier fluid is treated in an Eulerian frame through the solution of the compressible Navier-Stokes equations. Particle search and localization is based on the geometric mapping of mesh elements to a reference element and is applicable to arbitrary unstructured, curved, multidimensional grids. High-order interpolation is used to calculate the gas state at a given particle position, and the back-coupling of particles to the carrier fluid is carried out via a simple, effective procedure. Furthermore, we discuss difficulties associated with accounting for particle-wall collisions on curved, high-aspect-ratio elements. We develop a methodology that appropriately handles such collisions and accurately computes post-collision particle trajectories. We first apply the Euler-Lagrange method to one-way coupled tests and show the benefit of using curved instead of straight-sided elements for dealing with particle-wall collisions. We proceed by considering more complex multiphase test cases with two-way coupling, namely dusty flows over a flat plate and through a converging-diverging nozzle. Our final test case consists of hypersonic dusty flow over a sphere in which the target quantity is dust-induced surface heating augmentation at the stagnation point. Quantitative comparisons with experiments are provided. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free