Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

A Weighted State Redistribution Algorithm for Embedded Boundary Grids

Journal Article · · Journal of Computational Physics

State redistribution is an algorithm that stabilizes cut cells for embedded boundary grid methods. This work extends the earlier algorithm in several important ways. First, state redistribution is extended to three spatial dimensions. Second, we discuss several algorithmic changes and improvements motivated by the more complicated cut cell geometries that can occur in higher dimensions. In particular, we introduce a weighted version with less dissipation in an easily generalizable framework. Third, we demonstrate that state redistribution can also stabilize a solution update that includes both advective and diffusive contributions. The stabilization algorithm is shown to be effective for incompressible as well as compressible reacting flows. Finally, we discuss the implementation of the algorithm for several exascale-ready simulation codes based on AMReX, demonstrating ease of use in combination with domain decomposition, hybrid parallelism and complex physics.

Research Organization:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Organization:
USDOE Office of Science (SC); USDOE National Nuclear Security Administration (NNSA); Exascale Computing Project (ECP)
DOE Contract Number:
AC36-08GO28308
OSTI ID:
1885982
Report Number(s):
NREL/JA-2C00-83930; MainId:84703; UUID:6e9b2edd-4da2-440b-9463-2324477eaef4; MainAdminID:65393
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 464
Country of Publication:
United States
Language:
English

References (12)

Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid–structure interaction, and free surface flow: Part I journal September 2017
H -Box Methods for the Approximation of Hyperbolic Conservation Laws on Irregular Grids journal January 2003
Numerical simulation of a laboratory-scale turbulent slot flame journal January 2007
A Stabilized DG Cut Cell Method for Discretizing the Linear Transport Equation journal January 2020
A state redistribution algorithm for finite volume schemes on cut cell meshes journal March 2021
A Cartesian grid embedded boundary method for hyperbolic conservation laws journal January 2006
An Adaptive Cartesian Grid Method for Unsteady Compressible Flow in Irregular Regions journal September 1995
A dimensionally split Cartesian cut cell method for hyperbolic conservation laws journal July 2018
AMReX: Block-structured adaptive mesh refinement for multiphysics applications journal June 2021
A note on the stability of cut cells and cell merging journal October 2015
A Two-Dimensional Stabilized Discontinuous Galerkin Method on Curvilinear Embedded Boundary Grids journal February 2022
Adaptive mesh based combustion simulations of direct fuel injection effects in a supersonic cavity flame-holder journal October 2021

Similar Records

A weighted state redistribution algorithm for embedded boundary grids
Journal Article · 2022 · Journal of Computational Physics · OSTI ID:1900425

A new re-redistribution scheme for weighted state redistribution with adaptive mesh refinement
Journal Article · 2024 · Journal of Computational Physics · OSTI ID:2328105

An embedded boundary method for viscous, conducting compressible flow
Journal Article · 2006 · Journal of Computational Physics · OSTI ID:20767056