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An Energy Stable Co...
An Energy Stable Coupling Procedure for the Compressible and Incompressible Navier-Stokes Equations
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- Ghasemi Zinatabadi, Fatemeh, 1988- (författare)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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- Nordström, Jan, 1953- (författare)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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(creator_code:org_t)
- Linköping : Linköping University Electronic Press, 2019
- Engelska 42 s.
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Serie: LiTH-MAT-R, 0348-2960 ; 2019:7
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Ingår i: Journal of Computational Physics. - Linköping : Linköping University Electronic Press. - 0021-9991 .- 1090-2716. ; 396, s. 280-302
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Abstract
Ämnesord
Stäng
- The coupling of the compressible and incompressible Navier-Stokes equations is considered. Our ambition is to take a first step towards a provably well posed and stable coupling procedure. We study a simplified setting with a stationary planar interface and small disturbances from a steady background ow with zero velocity normal to the interface.The simplified setting motivates the use of the linearized equations, and we derive interface conditions such that the continuous problem satisfy an energy estimate. The interface conditions can be imposed both strongly and weakly. It is shown that the weak and strong interface imposition produce similar continuous energy estimates.We discretize the problem in time and space by employing finite difference operators that satisfy a summation-by-parts rule. The interface and initial conditions are imposed weakly using a penalty formulation. It is shown that the results obtained for the weak interface conditions in the continuous case, lead directly to stability of the fully discrete problem.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Compressible fluid
- incompressible fluid
- Navier-Stokes equations
- energy estimate
- interface conditions
- stability
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