Supra-conservative finite-volume methods for the simulation of subsonic flow

Arthur Veldman

Supra-conservative finite-volume methods for the simulation of subsonic flow

Arthur Veldman^*

^*Corresponding author for this work

Computational and Numerical Mathematics

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

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Abstract

It is demonstrated how finite-volume methods can be designed such that, next to the primary invariants (mass, momentum and internal energy), they also conserve secondary invariants (kinetic energy), i.e., they are supra-conservative. Key ingredient is a consistency between the discrete divergence terms in the constituting equations and the discrete pressure gradient. The requirements hold for any discretization method with a volume-consistent scaling.

Original language	English
Title of host publication	14th WCCM ECCOMAS Congress 2020
Subtitle of host publication	Proceedings
Editors	F. Chinesta, R. Abgrall, O. Allix, M. Kaliske
Number of pages	12
Publication status	Published - 11-Jan-2021
Event	WCCM ECCOMAS Congress 2020 - Virtual Congress, Paris, France Duration: 11-Jan-2021 → 15-Jan-2021 Conference number: 14

Conference

Conference	WCCM ECCOMAS Congress 2020
Country/Territory	France
City	Paris
Period	11/01/2021 → 15/01/2021

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@inproceedings{13060ca5ef634d43a02d54d8ff9dd562,

title = "Supra-conservative finite-volume methods for the simulation of subsonic flow",

abstract = "It is demonstrated how finite-volume methods can be designed such that, next to the primary invariants (mass, momentum and internal energy), they also conserve secondary invariants (kinetic energy), i.e., they are supra-conservative. Key ingredient is a consistency between the discrete divergence terms in the constituting equations and the discrete pressure gradient. The requirements hold for any discretization method with a volume-consistent scaling.",

author = "Arthur Veldman",

year = "2021",

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language = "English",

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note = "WCCM ECCOMAS Congress 2020 ; Conference date: 11-01-2021 Through 15-01-2021",

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AU - Veldman, Arthur

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N2 - It is demonstrated how finite-volume methods can be designed such that, next to the primary invariants (mass, momentum and internal energy), they also conserve secondary invariants (kinetic energy), i.e., they are supra-conservative. Key ingredient is a consistency between the discrete divergence terms in the constituting equations and the discrete pressure gradient. The requirements hold for any discretization method with a volume-consistent scaling.

AB - It is demonstrated how finite-volume methods can be designed such that, next to the primary invariants (mass, momentum and internal energy), they also conserve secondary invariants (kinetic energy), i.e., they are supra-conservative. Key ingredient is a consistency between the discrete divergence terms in the constituting equations and the discrete pressure gradient. The requirements hold for any discretization method with a volume-consistent scaling.

M3 - Conference contribution

BT - 14th WCCM ECCOMAS Congress 2020

A2 - Chinesta, F.

A2 - Abgrall, R.

A2 - Allix, O.

A2 - Kaliske, M.

T2 - WCCM ECCOMAS Congress 2020

Y2 - 11 January 2021 through 15 January 2021

ER -

Supra-conservative finite-volume methods for the simulation of subsonic flow

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