Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids

Abstract

We present an approach to solving hyperbolic conservation laws by finite-volume methods on mapped multiblock grids, extending the approach of Colella, Dorr, Hittinger, and Martin (2011) [10] for grids with a single mapping. We consider mapped multiblock domains for mappings that are conforming at inter-block boundaries. By using a smooth continuation of the mapping into ghost cells surrounding a block, we reduce the inter-block communication problem to finding an accurate, robust interpolation into these ghost cells from neighboring blocks. We demonstrate fourth-order accuracy for the advection equation for multiblock coordinate systems in two and three dimensions.

Authors:
 [1];  [1];  [2];  [2]
+ Show Author Affiliations
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1249128
Alternate Identifier(s):
OSTI ID: 1236619; OSTI ID: 1247035; OSTI ID: 1407349
Report Number(s):
LLNL-JRNL-652819; LBNL-182615
Journal ID: ISSN 0021-9991
Grant/Contract Number:  
AC52-07NA27344; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 288; Journal Issue: C; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; finite-volume method; high-order discretization; mapped grids; multiblock; hyperbolic partial differential equations

Citation Formats

McCorquodale, P. W., Colella, P., Dorr, M. R., and Hittinger, J. A. F. High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids. United States: N. p., 2015. Web. doi:10.1016/j.jcp.2015.01.006.
Copy to clipboard
McCorquodale, P. W., Colella, P., Dorr, M. R., & Hittinger, J. A. F. High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids. United States. https://doi.org/10.1016/j.jcp.2015.01.006
Copy to clipboard
McCorquodale, P. W., Colella, P., Dorr, M. R., and Hittinger, J. A. F. Tue . "High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids". United States. https://doi.org/10.1016/j.jcp.2015.01.006. https://www.osti.gov/servlets/purl/1249128.
Copy to clipboard
@article{osti_1249128,
title = {High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids},
author = {McCorquodale, P. W. and Colella, P. and Dorr, M. R. and Hittinger, J. A. F.},
abstractNote = {We present an approach to solving hyperbolic conservation laws by finite-volume methods on mapped multiblock grids, extending the approach of Colella, Dorr, Hittinger, and Martin (2011) [10] for grids with a single mapping. We consider mapped multiblock domains for mappings that are conforming at inter-block boundaries. By using a smooth continuation of the mapping into ghost cells surrounding a block, we reduce the inter-block communication problem to finding an accurate, robust interpolation into these ghost cells from neighboring blocks. We demonstrate fourth-order accuracy for the advection equation for multiblock coordinate systems in two and three dimensions.},
doi = {10.1016/j.jcp.2015.01.006},
journal = {Journal of Computational Physics},
number = C,
volume = 288,
place = {United States},
year = {Tue Jan 13 00:00:00 EST 2015},
month = {Tue Jan 13 00:00:00 EST 2015}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.jcp.2015.01.006
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Stability of interfaces with mesh refinement
journal, January 1985

On Conservation at Grid Interfaces
journal, October 1987

  • Berger, Marsha J.
  • SIAM Journal on Numerical Analysis, Vol. 24, Issue 5
  • DOI: 10.1137/0724063

Adaptive zoning for singular problems in two dimensions
journal, June 1982

A Scheme for Conservative Interpolation on Overlapping Grids
journal, July 1994

  • Chesshire, G.; Henshaw, W. D.
  • SIAM Journal on Scientific Computing, Vol. 15, Issue 4
  • DOI: 10.1137/0915051

High-order, finite-volume methods in mapped coordinates
journal, April 2011

  • Colella, P.; Dorr, M. R.; Hittinger, J. A. F.
  • Journal of Computational Physics, Vol. 230, Issue 8
  • DOI: 10.1016/j.jcp.2010.12.044

High-order solution-adaptive central essentially non-oscillatory (CENO) method for viscous flows
journal, January 2014

Multi-dimensional finite-volume scheme for hyperbolic conservation laws on three-dimensional solution-adaptive cubed-sphere grids
journal, December 2013

  • Ivan, Lucian; De Sterck, Hans; Northrup, Scott A.
  • Journal of Computational Physics, Vol. 255
  • DOI: 10.1016/j.jcp.2013.08.008

Euler Solution Using Cartesian Grid with a Gridless Least-Squares Boundary Treatment
journal, February 2005

  • Koh, E. P. C.; Tsai, H. M.; Liu, F.
  • AIAA Journal, Vol. 43, Issue 2
  • DOI: 10.2514/1.6177

Numerical treatment of two-dimensional interfaces for acoustic and elastic waves
journal, March 2004

Inviscid transonic flow over airfoils
journal, December 1970

  • Magnus, R.; Yoshihara, H.
  • AIAA Journal, Vol. 8, Issue 12
  • DOI: 10.2514/3.6080

A high-order finite-volume method for conservation laws on locally refined grids
journal, January 2011

  • McCorquodale, Peter; Colella, Phillip
  • Communications in Applied Mathematics and Computational Science, Vol. 6, Issue 1
  • DOI: 10.2140/camcos.2011.6.1

A high-order accurate unstructured finite volume Newton–Krylov algorithm for inviscid compressible flows
journal, February 2008

Stability of interpolation on overlapping grids
journal, July 1996

Conservative and non-conservative interpolation between overlapping grids for finite volume solutions of hyperbolic problems
journal, March 1994

A conservative treatment of zonal boundaries for euler equation calculations
journal, February 1986

The “Cubed Sphere”: A New Method for the Solution of Partial Differential Equations in Spherical Geometry
journal, March 1996

  • Ronchi, C.; Iacono, R.; Paolucci, P. S.
  • Journal of Computational Physics, Vol. 124, Issue 1
  • DOI: 10.1006/jcph.1996.0047

High-order compact finite-difference methods on general overset grids
journal, December 2005

Fusion Plasma Physics
book, August 2012

Composite mesh difference methods for elliptic boundary value problems
journal, June 1977

On the use of composite grid schemes in computational aerodynamics
journal, October 1987

  • Steger, Joseph L.; Benek, John A.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 64, Issue 1-3
  • DOI: 10.1016/0045-7825(87)90045-4

High-order central ENO finite-volume scheme for ideal MHD
journal, October 2013

Boundary-fitted coordinate systems for numerical solution of partial differential equations—A review
journal, July 1982

  • Thompson, Joe F.; Warsi, Zahir U. A.; Wayne Mastin, C.
  • Journal of Computational Physics, Vol. 47, Issue 1
  • DOI: 10.1016/0021-9991(82)90066-3

High-order finite-volume methods for the shallow-water equations on the sphere
journal, August 2010

  • Ullrich, Paul A.; Jablonowski, Christiane; van Leer, Bram
  • Journal of Computational Physics, Vol. 229, Issue 17
  • DOI: 10.1016/j.jcp.2010.04.044

An analysis of finite-difference and finite-volume formulations of conservation laws
journal, March 1989

    Sort by:
    [ × clear filter / sort ]

    Works referencing / citing this record:

    Kinetic Simulation of Collisional Magnetized Plasmas with Semi-implicit Time Integration
    journal, May 2018

    • Ghosh, Debojyoti; Dorf, Mikhail A.; Dorr, Milo R.
    • Journal of Scientific Computing, Vol. 77, Issue 2
    • DOI: 10.1007/s10915-018-0726-6

    High-Order Finite-Volume Method with Block-Based AMR for Magnetohydrodynamics Flows
    journal, October 2018

    Continuum kinetic modeling of the tokamak plasma edge
    journal, May 2016

    • Dorf, M. A.; Dorr, M. R.; Hittinger, J. A.
    • Physics of Plasmas, Vol. 23, Issue 5
    • DOI: 10.1063/1.4943106

    Kinetic Simulation of Collisional Magnetized Plasmas with Semi-Implicit Time Integration
    preprint, January 2017

    Implicit gas-kinetic unified algorithm based on multi-block docking grid for multi-body reentry flows covering all flow regimes
    journal, December 2016

      Sort by:
      [ × clear filter / sort ]

      Similar Records in DOE PAGES and OSTI.GOV collections: