ON THE DISCRETIZATION OF DISCONTINUOUS SOURCES OF HYPERBOLIC BALANCE LAWS

Teddy Pichard

doi:10.23967/eccomas.2022.172

ON THE DISCRETIZATION OF DISCONTINUOUS SOURCES OF HYPERBOLIC BALANCE LAWS

Teddy Pichard

Research output: Contribution to journal › Conference article › peer-review

Abstract

We focus on a toy problem which corresponds to a simplification of a boiling two-phase flow model. This model is a hyperbolic system of balance laws with a source term defined as a discontinuous function of the unknown. Several discretizations of this source terms are studied, and we illustrate their capacity to capture steady states.

Original language	English
Journal	World Congress in Computational Mechanics and ECCOMAS Congress
DOIs	https://doi.org/10.23967/eccomas.2022.172
Publication status	Published - 1 Jan 2022
Event	8th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2022 - Oslo, Norway Duration: 5 Jun 2022 → 9 Jun 2022

Keywords

Boiling flow
Hyperbolic balance laws
Well-balanced scheme

Access to Document

10.23967/eccomas.2022.172

Cite this

@article{c8e658c73ed14341bf6861dea5042b91,

title = "ON THE DISCRETIZATION OF DISCONTINUOUS SOURCES OF HYPERBOLIC BALANCE LAWS",

abstract = "We focus on a toy problem which corresponds to a simplification of a boiling two-phase flow model. This model is a hyperbolic system of balance laws with a source term defined as a discontinuous function of the unknown. Several discretizations of this source terms are studied, and we illustrate their capacity to capture steady states.",

keywords = "Boiling flow, Hyperbolic balance laws, Well-balanced scheme",

author = "Teddy Pichard",

note = "Publisher Copyright: {\textcopyright} 2022, Scipedia S.L. All rights reserved.; 8th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2022 ; Conference date: 05-06-2022 Through 09-06-2022",

year = "2022",

month = jan,

day = "1",

doi = "10.23967/eccomas.2022.172",

language = "English",

journal = "World Congress in Computational Mechanics and ECCOMAS Congress",

issn = "2696-6999",

}

TY - JOUR

T1 - ON THE DISCRETIZATION OF DISCONTINUOUS SOURCES OF HYPERBOLIC BALANCE LAWS

AU - Pichard, Teddy

PY - 2022/1/1

Y1 - 2022/1/1

N2 - We focus on a toy problem which corresponds to a simplification of a boiling two-phase flow model. This model is a hyperbolic system of balance laws with a source term defined as a discontinuous function of the unknown. Several discretizations of this source terms are studied, and we illustrate their capacity to capture steady states.

AB - We focus on a toy problem which corresponds to a simplification of a boiling two-phase flow model. This model is a hyperbolic system of balance laws with a source term defined as a discontinuous function of the unknown. Several discretizations of this source terms are studied, and we illustrate their capacity to capture steady states.

KW - Boiling flow

KW - Hyperbolic balance laws

KW - Well-balanced scheme

UR - https://www.scopus.com/pages/publications/85146965713

U2 - 10.23967/eccomas.2022.172

DO - 10.23967/eccomas.2022.172

M3 - Conference article

AN - SCOPUS:85146965713

SN - 2696-6999

JO - World Congress in Computational Mechanics and ECCOMAS Congress

JF - World Congress in Computational Mechanics and ECCOMAS Congress

T2 - 8th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2022

Y2 - 5 June 2022 through 9 June 2022

ER -

ON THE DISCRETIZATION OF DISCONTINUOUS SOURCES OF HYPERBOLIC BALANCE LAWS

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this