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Title: Conservative front-tracking for inviscid compressible flow

Abstract

In this paper we describe a front-tracking algorithm for modeling the propagation of discontinuous waves in two space dimensions. The algorithm uses a volume-of-fluid representation of the front in which the local frontal geometry is reconstructed from the state information on either side of the discontinuity and the Rankine-Hugoniot relations. The algorithm is coupled to an unsplit second-order Godunov algorithm and is fully conservative, maintaining conservation at the front. The combination of a volume-of-fluid representation of the front and a fully conservative algorithm leads to a robust high resolution method that easily accommodates changes in the topology of the front as well as kinks arising when a tracked front interacts with a captured discontinuity. The Godunov/tracking integration scheme is coupled to a local adaptive mesh refinement algorithm that selectively refines regions of the computational grid to achieve a desired level of accuracy. An example showing the combination of tracking and local refinement is presented. 5 refs., 2 figs.

Authors:
;  [1];  [2]
  1. Lawrence Livermore National Lab., CA (USA)
  2. California Univ., Berkeley, CA (USA)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOD; USDOE; National Science Foundation (NSF); Department of Defense, Washington, DC (USA); USDOE, Washington, DC (USA); National Science Foundation, Washington, DC (USA)
OSTI Identifier:
5912032
Report Number(s):
UCRL-JC-105251; CONF-910651-3
ON: DE91011534; CNN: DAAL03-88-K-0197; DMS-8919074; ACS-895822
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Conference
Resource Relation:
Conference: 10. AIAA computational fluid dynamics conference in conjunction with the 22nd AIAA fluid dynamics, plasma dynamics and lasers conference and the 26th AIIA thermophysics conference, Honolulu, HI (USA), 24-26 Jun 1991
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; COMPRESSIBLE FLOW; WAVE PROPAGATION; FINITE DIFFERENCE METHOD; ALGORITHMS; IDEAL FLOW; RANKINE-HUGONIOT EQUATIONS; EQUATIONS; FLUID FLOW; ITERATIVE METHODS; MATHEMATICAL LOGIC; NUMERICAL SOLUTION; 640410* - Fluid Physics- General Fluid Dynamics; 990200 - Mathematics & Computers

Citation Formats

Bell, J B, Welcome, M L, and Colella, P. Conservative front-tracking for inviscid compressible flow. United States: N. p., 1991. Web. doi:10.2514/6.1991-1599.
Bell, J B, Welcome, M L, & Colella, P. Conservative front-tracking for inviscid compressible flow. United States. https://doi.org/10.2514/6.1991-1599
Bell, J B, Welcome, M L, and Colella, P. 1991. "Conservative front-tracking for inviscid compressible flow". United States. https://doi.org/10.2514/6.1991-1599. https://www.osti.gov/servlets/purl/5912032.
@article{osti_5912032,
title = {Conservative front-tracking for inviscid compressible flow},
author = {Bell, J B and Welcome, M L and Colella, P},
abstractNote = {In this paper we describe a front-tracking algorithm for modeling the propagation of discontinuous waves in two space dimensions. The algorithm uses a volume-of-fluid representation of the front in which the local frontal geometry is reconstructed from the state information on either side of the discontinuity and the Rankine-Hugoniot relations. The algorithm is coupled to an unsplit second-order Godunov algorithm and is fully conservative, maintaining conservation at the front. The combination of a volume-of-fluid representation of the front and a fully conservative algorithm leads to a robust high resolution method that easily accommodates changes in the topology of the front as well as kinks arising when a tracked front interacts with a captured discontinuity. The Godunov/tracking integration scheme is coupled to a local adaptive mesh refinement algorithm that selectively refines regions of the computational grid to achieve a desired level of accuracy. An example showing the combination of tracking and local refinement is presented. 5 refs., 2 figs.},
doi = {10.2514/6.1991-1599},
url = {https://www.osti.gov/biblio/5912032}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Apr 04 00:00:00 EST 1991},
month = {Thu Apr 04 00:00:00 EST 1991}
}

Conference:
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