Search: onr:"swepub:oai:DiVA.org:liu-117360" >
Fully discrete ener...
Fully discrete energy stable high order finite difference methods for hyperbolic problems in deforming domains
-
- Nikkar, Samira (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska högskolan
-
- Nordström, Jan (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska högskolan
-
(creator_code:org_t)
- Elsevier, 2015
- 2015
- English.
-
In: Journal of Computational Physics. - : Elsevier. - 0021-9991 .- 1090-2716. ; 291, s. 82-98
- Related links:
-
https://liu.diva-por... (primary) (Raw object)
-
show more...
-
http://liu.diva-port...
-
https://urn.kb.se/re...
-
https://doi.org/10.1...
-
show less...
Abstract
Subject headings
Close
- A time-dependent coordinate transformation of a constant coefficient hyperbolic system of equations which results in a variable coefficient system of equations is considered. By applying the energy method, well-posed boundary conditions for the continuous problem are derived. Summation-by-Parts (SBP) operators for the space and time discretization, together with a weak imposition of boundary and initial conditions using Simultaneously Approximation Terms (SATs) lead to a provable fully-discrete energy-stable conservative finite difference scheme. We show how to construct a time-dependent SAT formulation that automatically imposes boundary conditions, when and where they are required. We also prove that a uniform flow field is preserved, i.e. the Numerical Geometric Conservation Law (NGCL) holds automatically by using SBP-SAT in time and space. The developed technique is illustrated by considering an application using the linearized Euler equations: the sound generated by moving boundaries. Numerical calculations corroborate the stability and accuracy of the new fully discrete approximations.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Deforming domain; Initial boundary value problems; High order accuracy; Well-posed boundary conditions; Summation-by-parts operators; Stability; Convergence; Conservation; Numerical geometric conservation law; Euler equation; Sound propagation
Publication and Content Type
- ref (subject category)
- art (subject category)
Find in a library
To the university's database