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Simulation of Flow in Fractured Poroelastic Media: A Comparison of Different Discretization Approaches Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Splitting Scheme for Poroelasticity and Thermoelasticity Problems

Authors : Alexandr E. Kolesov, Petr N. Vabishchevich, Maria V. Vasilyeva, Victor F. Gornov

Published in: Finite Difference Methods,Theory and Applications

Publisher: Springer International Publishing

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Abstract

We consider an unconditionally stable splitting scheme for solving coupled systems of equations arising in poroelasticity and thermoelasticity problems. The scheme is based on splitting the systems of equation into physical processes, which means the transition to the new time level is associated with solving separate sub-problems for displacement and pressure/temperature. The stability of the scheme is achieved by switching to three-level finite-difference scheme with weight. We present stability estimates of the scheme based on Samarskii’s theory of stability for operator-difference schemes. We provide numerical experiments supporting the stability estimates of the splitting scheme.

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Metadata
Title
Splitting Scheme for Poroelasticity and Thermoelasticity Problems
Authors
Alexandr E. Kolesov
Petr N. Vabishchevich
Maria V. Vasilyeva
Victor F. Gornov
Copyright Year
2015
Book
Finite Difference Methods,Theory and Applications

Print ISBN: 978-3-319-20238-9

Electronic ISBN: 978-3-319-20239-6

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-20239-6_25

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