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Title: An adaptive multifluid interface-capturing method for compressible flow in complex geometries

Abstract

We present a numerical method for solving the multifluid equations of gas dynamics using an operator-split second-order Godunov method for flow in complex geometries in two and three dimensions. The multifluid system treats the fluid components as thermodynamically distinct entities and correctly models fluids with different compressibilities. This treatment allows a general equation-of-state (EOS) specification and the method is implemented so that the EOS references are minimized. The current method is complementary to volume-of-fluid (VOF) methods in the sense that a VOF representation is used, but no interface reconstruction is performed. The Godunov integrator captures the interface during the solution process. The basic multifluid integrator is coupled to a Cartesian grid algorithm that also uses a VOF representation of the fluid-body interface. This representation of the fluid-body interface allows the algorithm to easily accommodate arbitrarily complex geometries. The resulting single grid multifluid-Cartesian grid integration scheme is coupled to a local adaptive mesh refinement algorithm that dynamically refines selected regions of the computational grid to achieve a desired level of accuracy. The overall method is fully conservative with respect to the total mixture. The method will be used for a simple nozzle problem in two-dimensional axisymmetric coordinates.

Authors:
; ; ; ; ;
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE, Washington, DC (United States); Department of Defense, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
OSTI Identifier:
82467
Report Number(s):
UCRL-JC-118609; CONF-950634-4
ON: DE95013273; CNN: IACRO 95-2045, DMS-8919074
DOE Contract Number:  
W-7405-ENG-48; FG03-92ER25140
Resource Type:
Conference
Resource Relation:
Conference: 26. American Institute of Aeronautics and Astronautics (AIAA) computational fluid dynamics conference, San Diego, CA (United States), 19-22 Jun 1995; Other Information: PBD: Apr 1995
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; COMPRESSIBLE FLOW; MATHEMATICAL MODELS; FLUID MECHANICS; AERODYNAMICS; EQUATIONS OF STATE; THERMODYNAMICS; ALGORITHMS

Citation Formats

Greenough, J A, Beckner, V, Pember, R B, Crutchfield, W Y, Bell, J B, and Colella, P. An adaptive multifluid interface-capturing method for compressible flow in complex geometries. United States: N. p., 1995. Web.
Greenough, J A, Beckner, V, Pember, R B, Crutchfield, W Y, Bell, J B, & Colella, P. An adaptive multifluid interface-capturing method for compressible flow in complex geometries. United States.
Greenough, J A, Beckner, V, Pember, R B, Crutchfield, W Y, Bell, J B, and Colella, P. 1995. "An adaptive multifluid interface-capturing method for compressible flow in complex geometries". United States. https://www.osti.gov/servlets/purl/82467.
@article{osti_82467,
title = {An adaptive multifluid interface-capturing method for compressible flow in complex geometries},
author = {Greenough, J A and Beckner, V and Pember, R B and Crutchfield, W Y and Bell, J B and Colella, P},
abstractNote = {We present a numerical method for solving the multifluid equations of gas dynamics using an operator-split second-order Godunov method for flow in complex geometries in two and three dimensions. The multifluid system treats the fluid components as thermodynamically distinct entities and correctly models fluids with different compressibilities. This treatment allows a general equation-of-state (EOS) specification and the method is implemented so that the EOS references are minimized. The current method is complementary to volume-of-fluid (VOF) methods in the sense that a VOF representation is used, but no interface reconstruction is performed. The Godunov integrator captures the interface during the solution process. The basic multifluid integrator is coupled to a Cartesian grid algorithm that also uses a VOF representation of the fluid-body interface. This representation of the fluid-body interface allows the algorithm to easily accommodate arbitrarily complex geometries. The resulting single grid multifluid-Cartesian grid integration scheme is coupled to a local adaptive mesh refinement algorithm that dynamically refines selected regions of the computational grid to achieve a desired level of accuracy. The overall method is fully conservative with respect to the total mixture. The method will be used for a simple nozzle problem in two-dimensional axisymmetric coordinates.},
doi = {},
url = {https://www.osti.gov/biblio/82467}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Sat Apr 01 00:00:00 EST 1995},
month = {Sat Apr 01 00:00:00 EST 1995}
}

Conference:
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