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|a (NLM)25110358
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|a eng
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|a Coralic, Vedran
|e verfasserin
|4 aut
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|a Finite-volume WENO scheme for viscous compressible multicomponent flows
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|c 2014
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|a Text
|b txt
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|a ohne Hilfsmittel zu benutzen
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|a Band
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|2 rdacarrier
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|a Date Revised 21.10.2021
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|a published: Print
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|a Citation Status PubMed-not-MEDLINE
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|a We develop a shock- and interface-capturing numerical method that is suitable for the simulation of multicomponent flows governed by the compressible Navier-Stokes equations. The numerical method is high-order accurate in smooth regions of the flow, discretely conserves the mass of each component, as well as the total momentum and energy, and is oscillation-free, i.e. it does not introduce spurious oscillations at the locations of shockwaves and/or material interfaces. The method is of Godunov-type and utilizes a fifth-order, finite-volume, weighted essentially non-oscillatory (WENO) scheme for the spatial reconstruction and a Harten-Lax-van Leer contact (HLLC) approximate Riemann solver to upwind the fluxes. A third-order total variation diminishing (TVD) Runge-Kutta (RK) algorithm is employed to march the solution in time. The derivation is generalized to three dimensions and nonuniform Cartesian grids. A two-point, fourth-order, Gaussian quadrature rule is utilized to build the spatial averages of the reconstructed variables inside the cells, as well as at cell boundaries. The algorithm is therefore fourth-order accurate in space and third-order accurate in time in smooth regions of the flow. We corroborate the properties of our numerical method by considering several challenging one-, two- and three-dimensional test cases, the most complex of which is the asymmetric collapse of an air bubble submerged in a cylindrical water cavity that is embedded in 10% gelatin
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|a Journal Article
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|a HLLC
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|a WENO
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|a interface-capturing
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|a multicomponent flows
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|a shock-capturing
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|a viscous
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|a Colonius, Tim
|e verfasserin
|4 aut
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|i Enthalten in
|t Journal of computational physics
|d 1998
|g 274(2014) vom: 01. Okt., Seite 95-121
|w (DE-627)NLM098188844
|x 0021-9991
|7 nnns
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|g volume:274
|g year:2014
|g day:01
|g month:10
|g pages:95-121
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