An Explicit Finite Volume Numerical Scheme for 2D Elastic Wave Propagation

Mihhail Berezovski; Arkadi Berezovski

doi:10.1007/978-3-030-29951-4_12

An Explicit Finite Volume Numerical Scheme for 2D Elastic Wave Propagation

Mihhail Berezovski, Arkadi Berezovski

Mathematics

Tallinn University of Technology

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

The construction of the two-dimensional finite volume numerical scheme based on the representation of computational cells as thermodynamic systems is presented explicitly. The main advantage of the scheme is an accurate implementation of conditions at interfaces and boundaries. It is demonstrated that boundary conditions influence the wave motion even in the simple case of a homogeneous waveguide.

Original language	American English
Title of host publication	Applied Wave Mathematics II
DOIs	https://doi.org/10.1007/978-3-030-29951-4_12
State	Published - Nov 1 2019

Keywords

computational cells
thermodynamic systems
wave
Riemann

Disciplines

Mathematics
Other Mathematics

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10.1007/978-3-030-29951-4_12License: CC BY

An Explicit Finite Volume Numerical Scheme for 2D Elastic Wave PrFinal published version, 1.08 MBLicense: CC BY

Cite this

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title = "An Explicit Finite Volume Numerical Scheme for 2D Elastic Wave Propagation",

abstract = " The construction of the two-dimensional finite volume numerical scheme based on the representation of computational cells as thermodynamic systems is presented explicitly. The main advantage of the scheme is an accurate implementation of conditions at interfaces and boundaries. It is demonstrated that boundary conditions influence the wave motion even in the simple case of a homogeneous waveguide.",

keywords = "computational cells, thermodynamic systems, wave, Riemann",

author = "Mihhail Berezovski and Arkadi Berezovski",

year = "2019",

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doi = "10.1007/978-3-030-29951-4_12",

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AU - Berezovski, Mihhail

AU - Berezovski, Arkadi

PY - 2019/11/1

Y1 - 2019/11/1

N2 - The construction of the two-dimensional finite volume numerical scheme based on the representation of computational cells as thermodynamic systems is presented explicitly. The main advantage of the scheme is an accurate implementation of conditions at interfaces and boundaries. It is demonstrated that boundary conditions influence the wave motion even in the simple case of a homogeneous waveguide.

AB - The construction of the two-dimensional finite volume numerical scheme based on the representation of computational cells as thermodynamic systems is presented explicitly. The main advantage of the scheme is an accurate implementation of conditions at interfaces and boundaries. It is demonstrated that boundary conditions influence the wave motion even in the simple case of a homogeneous waveguide.

KW - computational cells

KW - thermodynamic systems

KW - wave

KW - Riemann

UR - https://commons.erau.edu/publication/1488

U2 - 10.1007/978-3-030-29951-4_12

DO - 10.1007/978-3-030-29951-4_12

M3 - Chapter

BT - Applied Wave Mathematics II

ER -

An Explicit Finite Volume Numerical Scheme for 2D Elastic Wave Propagation

Abstract

Keywords

Disciplines

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