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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

The Theory and Applications of the SMIF Method for Correct Mathematical Modeling of the Incompressible Fluid Flows

Authors : Valentin Gushchin, Pavel Matyushin

Published in: Finite Difference Methods,Theory and Applications

Publisher: Springer International Publishing

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Abstract

For solving of the Navier-Stokes equations describing the incompressible viscous fluid flows the Splitting on physical factors Method for Incompressible Fluid flows (SMIF) with hybrid explicit finite difference scheme (second-order accuracy in space, minimum scheme viscosity and dispersion, capable for work in the wide range of Reynolds (Re) and internal Froude (Fr) numbers and monotonous) based on the Modified Central Difference Scheme (MCDS) and the Modified Upwind Difference Scheme (MUDS) with a special switch condition depending on the velocity sign and the signs of the first and second differences of the transferred functions has been developed and successfully applied. At the present paper the description of the numerical method SMIF and its applications for simulation of the 3D separated homogeneous and density stratified fluid flows around a sphere and a circular cylinder are demonstrated.

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previous chapter Modeling Textile Fabric Used in Pest Control with a 3 Scale Domain Decomposition Method
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Metadata
Title
The Theory and Applications of the SMIF Method for Correct Mathematical Modeling of the Incompressible Fluid Flows
Authors
Valentin Gushchin
Pavel Matyushin
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_21

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