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High Order Whitney Forms on Simplices and the Question of Potentials Read chapter Read first chapter

2021 | OriginalPaper | Chapter

Numerical Investigation of the Boussinesq Equations Through a Subgrid Artificial Viscosity Method

Authors : Medine Demir, Songül Kaya

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2019

Publisher: Springer International Publishing

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Abstract

This study presents a subgrid artificial viscosity method for approximating solutions to the Boussinesq equations. The stability is obtained by adding a term via an artificial viscosity and then removing it only on the coarse mesh scale. The method includes both vorticity in the viscous term and a grad-div stabilization. We analyze the method from both analytical and computational point of view and show that it is unconditionally stable and optimally convergent. Several numerical experiments are provided that support the derived theoretical results and demonstrate the efficiency and accuracy of the method.

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previous chapter High-Order Two and Three Level Schemes for Solving Fractional Powers of Elliptic Operators
next chapter FFT-Based Solution Schemes for the Unit Cell Problem in Periodic Homogenization of Magneto-Elastic Coupling
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Metadata
Title
Numerical Investigation of the Boussinesq Equations Through a Subgrid Artificial Viscosity Method
Authors
Medine Demir
Songül Kaya
Copyright Year
2021
Book
Numerical Mathematics and Advanced Applications ENUMATH 2019

Print ISBN: 978-3-030-55873-4

Electronic ISBN: 978-3-030-55874-1

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-55874-1_28

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