Generalised Multiscale Finite Element Methods for the Simulation of Complex Flows

A multiscale method to simulate complex (non-Newtonian) fluids is developed. The method combines techniques of dimension reduction by generating offline basis functions and corresponding function spaces. The basis are coupled together so the multiphysics describing the flow are captured. The simulat...

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Bibliographic Details
Published inInternational journal of applied and computational mathematics Vol. 11; no. 6; p. 233
Main Authors Urombo, Jack, Yadav, Anit Kumar, Chadha, Naresh Mohan
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.12.2025
Springer Nature B.V
Subjects
Algorithms
Applications of Mathematics
Basis functions
Computational Science and Engineering
Finite element analysis
Finite element method
Function space
Mathematical and Computational Physics
Mathematical functions
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Methods
Multiscale analysis
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Reynolds number
Simulation
Theoretical
Transport equations
Viscosity
Multiscale flow model
Primary 60H35
Generalised FEM
Adaptive schemes
A posteriori error
Multiscale FEM
Secondary 60H10
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ISSN2349-5103
2199-5796
DOI10.1007/s40819-025-02042-1

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Summary:A multiscale method to simulate complex (non-Newtonian) fluids is developed. The method combines techniques of dimension reduction by generating offline basis functions and corresponding function spaces. The basis are coupled together so the multiphysics describing the flow are captured. The simulation is performed on a function space that is constructed from a spectral decomposition of a transport equation derived from the model of the flow.
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ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-025-02042-1