Low mach number modeling of stratified flows

Ann Almgren; John Bell; Andrew Nonaka; Michael Zingale

doi:10.1007/978-3-319-05684-5_1

Low mach number modeling of stratified flows

Ann Almgren
, John Bell
, Andrew Nonaka
, Michael Zingale

Physics and Astronomy

Lawrence Berkeley National Laboratory

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

Low Mach number equation sets approximate the equations of motion of a compressible fluid by filtering out the sound waves, which allows the system to evolve on the advective rather than the acoustic time scale. Depending on the degree of approximation, low Mach number models retain some subset of possible compressible effects. In this paper we give an overviewof lowMach number methods for modeling stratified flows arising in astrophysics and atmospheric science as well as lowMach number reacting flows.We discuss howelements from the different fields are combined to form MAESTRO, a code for modeling low Mach number stratified flows with general equations of state, reactions and time-varying stratification.

Original language	English
Title of host publication	Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects, FVCA 7
Editors	Christian Rohde, Jürgen Fuhrmann, Mario Ohlberger
Publisher	Springer New York LLC
Pages	3-15
Number of pages	13
ISBN (Electronic)	9783319056838
DOIs	https://doi.org/10.1007/978-3-319-05684-5_1
State	Published - 2014
Event	7th International Symposium on Finite Volumes for Complex Applications-Problems and Perspectives, FVCA7 - Berlin, Germany Duration: Jun 15 2014 → Jun 20 2014

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	77
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	7th International Symposium on Finite Volumes for Complex Applications-Problems and Perspectives, FVCA7
Country/Territory	Germany
City	Berlin
Period	06/15/14 → 06/20/14

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10.1007/978-3-319-05684-5_1

Cite this

Almgren, A., Bell, J., Nonaka, A., & Zingale, M. (2014). Low mach number modeling of stratified flows. In C. Rohde, J. Fuhrmann, & M. Ohlberger (Eds.), Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects, FVCA 7 (pp. 3-15). (Springer Proceedings in Mathematics and Statistics; Vol. 77). Springer New York LLC. https://doi.org/10.1007/978-3-319-05684-5_1

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title = "Low mach number modeling of stratified flows",

abstract = "Low Mach number equation sets approximate the equations of motion of a compressible fluid by filtering out the sound waves, which allows the system to evolve on the advective rather than the acoustic time scale. Depending on the degree of approximation, low Mach number models retain some subset of possible compressible effects. In this paper we give an overviewof lowMach number methods for modeling stratified flows arising in astrophysics and atmospheric science as well as lowMach number reacting flows.We discuss howelements from the different fields are combined to form MAESTRO, a code for modeling low Mach number stratified flows with general equations of state, reactions and time-varying stratification.",

author = "Ann Almgren and John Bell and Andrew Nonaka and Michael Zingale",

note = "Publisher Copyright: {\textcopyright} 2014, Springer International Publishing Switzerland; 7th International Symposium on Finite Volumes for Complex Applications-Problems and Perspectives, FVCA7 ; Conference date: 15-06-2014 Through 20-06-2014",

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language = "English",

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Almgren, A, Bell, J, Nonaka, A & Zingale, M 2014, Low mach number modeling of stratified flows. in C Rohde, J Fuhrmann & M Ohlberger (eds), Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects, FVCA 7. Springer Proceedings in Mathematics and Statistics, vol. 77, Springer New York LLC, pp. 3-15, 7th International Symposium on Finite Volumes for Complex Applications-Problems and Perspectives, FVCA7, Berlin, Germany, 06/15/14. https://doi.org/10.1007/978-3-319-05684-5_1

Low mach number modeling of stratified flows. / Almgren, Ann; Bell, John; Nonaka, Andrew et al.
Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects, FVCA 7. ed. / Christian Rohde; Jürgen Fuhrmann; Mario Ohlberger. Springer New York LLC, 2014. p. 3-15 (Springer Proceedings in Mathematics and Statistics; Vol. 77).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - Low Mach number equation sets approximate the equations of motion of a compressible fluid by filtering out the sound waves, which allows the system to evolve on the advective rather than the acoustic time scale. Depending on the degree of approximation, low Mach number models retain some subset of possible compressible effects. In this paper we give an overviewof lowMach number methods for modeling stratified flows arising in astrophysics and atmospheric science as well as lowMach number reacting flows.We discuss howelements from the different fields are combined to form MAESTRO, a code for modeling low Mach number stratified flows with general equations of state, reactions and time-varying stratification.

AB - Low Mach number equation sets approximate the equations of motion of a compressible fluid by filtering out the sound waves, which allows the system to evolve on the advective rather than the acoustic time scale. Depending on the degree of approximation, low Mach number models retain some subset of possible compressible effects. In this paper we give an overviewof lowMach number methods for modeling stratified flows arising in astrophysics and atmospheric science as well as lowMach number reacting flows.We discuss howelements from the different fields are combined to form MAESTRO, a code for modeling low Mach number stratified flows with general equations of state, reactions and time-varying stratification.

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Low mach number modeling of stratified flows

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