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A cut finite elemen...
A cut finite element method for coupled bulk-surface problems on time-dependent domains
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- Hansbo, Peter (författare)
- Jönköping University,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering,JTH, Produktutveckling
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- Larson, Mats G. (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Department of Mathematics and Mathematical Statistics, Umeå University, Sweden
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- Zahedi, Sara (författare)
- KTH,Numerisk analys, NA,Department of Mathematics, KTH Royal Institute of Technology, Sweden
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Jönköping University JTH Forskningsmiljö Produktutveckling - Simulering och optimering (creator_code:org_t)
- Elsevier, 2016
- 2016
- Engelska.
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Ingår i: Computer Methods in Applied Mechanics and Engineering. - : Elsevier. - 0045-7825 .- 1879-2138. ; 307, s. 96-116
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Abstract
Ämnesord
Stäng
- In this contribution we present a new computational method for coupled bulk-surface problems on time-dependent domains. The method is based on a space–time formulation using discontinuous piecewise linear elements in time and continuous piecewise linear elements in space on a fixed background mesh. The domain is represented using a piecewise linear level set function on the background mesh and a cut finite element method is used to discretize the bulk and surface problems. In the cut finite element method the bilinear forms associated with the weak formulation of the problem are directly evaluated on the bulk domain and the surface defined by the level set, essentially using the restrictions of the piecewise linear functions to the computational domain. In addition a stabilization term is added to stabilize convection as well as the resulting algebraic system that is solved in each time step. We show in numerical examples that the resulting method is accurate and stable and results in well conditioned algebraic systems independent of the position of the interface relative to the background mesh.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Nyckelord
- Coupled bulk-surface problems
- Cut finite element method (CutFEM)
- Space–time FEM
- Evolving domains
- Soluble surfactant
- Sharp interface method
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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