A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Stable Dynamical Adaptive Mesh Refinement
We consider accurate and stable interpolation procedures for numerical simulations utilizingtime dependent adaptive meshes. The interpolation of numerical solution valuesbetween meshes is considered as a transmission problem with respect to the underlying semidiscretizedequations, and a theoretical framework using inner product preserving operatorsis developed, which allows for both explicit and implicit implementations. The theory issupplemented with numerical experiments demonstrating practical benefits of the new stableframework. For this purpose, new interpolation operators have been designed to be used withmulti-block finite difference schemes involving non-collocated, moving interfaces. ; Funding:National Research Foundation of South AfricaNational Research Foundation - South Africa [89916]; Vetenskapsradet, SwedenSwedish Research Council [2018-05084_VR]
Stable Dynamical Adaptive Mesh Refinement
We consider accurate and stable interpolation procedures for numerical simulations utilizingtime dependent adaptive meshes. The interpolation of numerical solution valuesbetween meshes is considered as a transmission problem with respect to the underlying semidiscretizedequations, and a theoretical framework using inner product preserving operatorsis developed, which allows for both explicit and implicit implementations. The theory issupplemented with numerical experiments demonstrating practical benefits of the new stableframework. For this purpose, new interpolation operators have been designed to be used withmulti-block finite difference schemes involving non-collocated, moving interfaces. ; Funding:National Research Foundation of South AfricaNational Research Foundation - South Africa [89916]; Vetenskapsradet, SwedenSwedish Research Council [2018-05084_VR]
Stable Dynamical Adaptive Mesh Refinement
Lundquist, Tomas (author) / Nordström, Jan (author) / Malan, Arnaud (author)
2021-01-01
ISI:000617812600001
Article (Journal)
Electronic Resource
English
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