An improved Numerical Manifold Method and its application
- Release Time:2025-04-30
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Date:
2025-04-30Title of Paper:
An improved Numerical Manifold Method and its applicationJournal:
Engineering Analysis with Boundary ElementsSummary:
The conventionalnumericalmanifoldmethodisimprovedingeneratingmanifoldelements.Inthis
framework,theconceptofmathematicalelementisunderlying,andmanifoldelementsaregeneratedby
intersecting mathematicalelementswithphysicalfeatures.Ononehand,eachmathematicalcoveris
recoveredbythemathematicalelementswiththesamenode(andhencethenodeisthestarof
mathematical cover).Ontheotherhand,eachphysicalcoveriseventuallyrecoveredbypiecewise
pasting themanifoldelementswithinthesamemathematicalcoverwiththesamephysicalfeature.
Afterthisimprovement,generationofmanifoldelementscanbypasstheoverlappingprocedureof
irregular andcomplicatedphysicalcovers,leadingtotheeffectassimpleasthe finite elementmethod.
Compared withtheconventionalnumericalmanifoldmethod,thisimprovementcanattain “what you
see iswhatyouget” in generatingmanifoldelements,andconstructionofweightfunctionsis
theoreticallystraightforward.Inaddition,localmeshrefinement becomesmoreconvenientwhen
necessary.Twoexamplesareconductedtovalidatetheimprovednumericalmanifoldmethod.Co-author:
Y. L. Chen, L. X. Li*Volume:
52 (2015)Page Number:
120–129Translation or Not:
NoDate of Publication:
2015-01-01
