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Title: A fourth-order adaptive mesh refinement algorithm for the multicomponent, reacting compressible Navier–Stokes equations

Journal Article · · Combustion Theory and Modelling
 [1]; ORCiD logo [2];  [2];  [2];  [2]
  1. Computer Modeling Group, Calgary (Canada)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
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In this study, we present a fourth-order in space and time block-structured adaptive mesh refinement algorithm for the compressible multicomponent reacting Navier–Stokes equations. The algorithm uses a finite-volume approach that incorporates a fourth-order discretisation of the convective terms. The time-stepping algorithm is based on a multi-level spectral deferred corrections method that enables explicit treatment of advection and diffusion coupled with an implicit treatment of reactions. The temporal scheme is embedded in a block-structured adaptive mesh refinement algorithm that includes subcycling in time with spectral deferred correction sweeps applied on levels. Here we present the details of the multi-level scheme paying particular attention to the treatment of coarse–fine boundaries required to maintain fourth-order accuracy in time. We then demonstrate the convergence properties of the algorithm on several test cases including both non-reacting and reacting flows. Finally we present simulations of a vitiated dimethyl ether jet in 2D and a turbulent hydrogen jet in 3D, both with detailed kinetics and transport.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1498688
Journal Information:
Combustion Theory and Modelling, Journal Name: Combustion Theory and Modelling Journal Issue: 4 Vol. 23; ISSN 1364-7830
Publisher:
Taylor & FrancisCopyright Statement
Country of Publication:
United States
Language:
English

References (24)

An updated comprehensive kinetic model of hydrogen combustion journal January 2004
Fast and Accurate Multicomponent Transport Property Evaluation journal August 1995
A multi-level spectral deferred correction method journal August 2014
Adaptive mesh refinement for hyperbolic partial differential equations journal March 1984
Local adaptive mesh refinement for shock hydrodynamics journal May 1989
High-order multi-implicit spectral deferred correction methods for problems of reactive flow journal August 2003
Finite-volume WENO schemes for three-dimensional conservation laws journal November 2004
A multirate time integrator for regularized Stokeslets journal June 2010
A high-order numerical algorithm for DNS of low-Mach-number reactive flows with detailed chemistry and quasi-spectral accuracy journal May 2016
A survey of high level frameworks in block-structured adaptive mesh refinement packages journal December 2014
Numerical and experimental investigation of turbulent DME jet flames journal January 2015
The Derivation and Numerical Solution of the Equations for Zero Mach Number Combustion journal January 1985
Measurement of Flame Temperature and Adiabatic Burning Velocity of Methane/Air Mixtures journal January 1994
High-order algorithms for compressible reacting flow with complex chemistry journal May 2014
A conservative, thermodynamically consistent numerical approach for low Mach number combustion. Part I: Single-level integration journal August 2017
Numerical simulation of laminar reacting flows with complex chemistry journal December 2000
Multi-level adaptive solutions to boundary-value problems journal May 1977
A validated non-linear Kelvin–Helmholtz benchmark for numerical hydrodynamics journal December 2015
An algorithm for point clustering and grid generation journal January 1991
Three-Dimensional Adaptive Mesh Refinement for Hyperbolic Conservation Laws journal January 1994
Active control for statistically stationary turbulent premixed flame simulations journal January 2006
A high-order finite-volume method for conservation laws on locally refined grids journal January 2011
Toward an efficient parallel in time method for partial differential equations journal January 2012
Comparison of Nonreflecting Outlet Boundary Conditions for Compressible Solvers on Unstructured Grids journal October 2010

Cited By (2)

Convergence analysis of multi-level spectral deferred corrections text January 2020
Improved Coupling of Hydrodynamics and Nuclear Reactions via Spectral Deferred Corrections journal November 2019

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Related Subjects

97 MATHEMATICS AND COMPUTING
AMR
DNS
WENO schemes
flame simulations
high-order numerical methods
spectral deferred corrections