Development of a particle collision algorithm for discontinuous Galerkin simulations of compressible multiphase flows

•An efficient algorithm for inspecting pairs of particles for collisions is developed.•The method exploits the geometric mapping from reference to physical space.•Computational cost can be significantly reduced compare to standard approaches.•An enhanced particle-wall collision algorithm for curved...

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Vydáno v:Journal of computational physics Ročník 436; s. 110319
Hlavní autoři: Ching, Eric J., Ihme, Matthias
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cambridge Elsevier Inc 01.07.2021
Elsevier Science Ltd
Témata:
Algorithms
Compressibility
Computational physics
Computer simulation
Curved elements
Discontinuous Galerkin method
Dusty flow
Flow simulation
Galerkin method
Hypersonic flow
Lagrangian particle tracking
Multiphase flow
Particle collisions
Particle-laden flow
Sandblasting
Discontinuous Galerkin method
Hypersonic flow
Lagrangian particle tracking
Curved elements
Particle-laden flow
Dusty flow
ISSN:0021-9991, 1090-2716
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Shrnutí:•An efficient algorithm for inspecting pairs of particles for collisions is developed.•The method exploits the geometric mapping from reference to physical space.•Computational cost can be significantly reduced compare to standard approaches.•An enhanced particle-wall collision algorithm for curved elements is proposed.•Hypersonic dusty flow and surface erosion by sandblasting are simulated. This paper discusses the development of algorithms for simulating compressible, four-way coupled, particle-laden flows with discontinuous Galerkin methods. Specifically, the algorithmic developments focus on the treatment of hard-sphere collisions. First, we aim to reduce the computational effort devoted to inspecting pairs of particles for collisions during the given time step. This is often one of the most expensive stages of four-way coupled particle-laden flow simulations. The proposed algorithm exploits information about relative particle positions provided by the geometric mapping of a physical element to a reference element commonly employed in discontinuous Galerkin and other finite-element-based solvers. Second, we develop an enhanced particle-wall collision methodology that better accounts for finite particle size than previously developed schemes. A particular feature of the particle-particle and particle-wall collision algorithms is compatibility with arbitrary, curved, unstructured elements. Finally, we apply the resulting framework to a number of test cases, including hypersonic dusty flow over an entry capsule and surface erosion by sandblasting.
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ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2021.110319