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Boundary and interf...
Boundary and interface methods for energy stable finite difference discretizations of the dynamic beam equation
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- Eriksson, Gustav (author)
- Uppsala universitet,Avdelningen för beräkningsvetenskap,Numerisk analys
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- Werpers, Jonatan (author)
- Uppsala universitet,Avdelningen för beräkningsvetenskap,Numerisk analys
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- Niemelä, David (author)
- Uppsala universitet,Avdelningen för beräkningsvetenskap,Numerisk analys
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- Wik, Niklas (author)
- Uppsala universitet,Institutionen för informationsteknologi
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- Zethrin, Valter (author)
- Uppsala universitet,Institutionen för informationsteknologi
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- Mattsson, Ken, 1970- (author)
- Uppsala universitet,Avdelningen för beräkningsvetenskap,Numerisk analys
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(creator_code:org_t)
- Elsevier, 2023
- 2023
- English.
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In: Journal of Computational Physics. - : Elsevier. - 0021-9991 .- 1090-2716. ; 476
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Abstract
Subject headings
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- We consider energy stable summation by parts finite difference methods (SBP-FD) for the homogeneous and piecewise homogeneous dynamic beam equation (DBE). Previously the constant coefficient problem has been solved with SBP-FD together with penalty terms (SBP-SAT) to impose boundary conditions. In this work, we revisit this problem and compare SBP-SAT to the projection method (SBP-P). We also consider the DBE with discontinuous coefficients and present novel SBP-SAT, SBP-P, and hybrid SBP-SAT-P discretizations for imposing interface conditions. To demonstrate the methodology for two-dimensional problems, we also present a discretization of the piecewise homogeneous dynamic Kirchoff-Love plate equation based on the hybrid SBP-SAT-P method. Numerical experiments show that all methods considered are similar in terms of accuracy, but that SBP-P can be more computationally efficient (less restrictive time step requirement for explicit time integration methods) for both the constant and piecewise constant coefficient problems.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Dynamic beam equation
- Boundary treatment
- Summation by parts
- Finite differences
- High order methods
- Beräkningsvetenskap med inriktning mot numerisk analys
- Scientific Computing with specialization in Numerical Analysis
Publication and Content Type
- ref (subject category)
- art (subject category)
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