High order finite volume weighted essentially non-oscillatory scheme for solving the isentropic two-phase flow model

DOI10.1016/j.rinam.2021.100155zbMath1469.76072OpenAlexW3156135826MaRDI QIDQ2043848

Shamsul Qamar, Rana Danish Aslam, Asad Rehman, M. A. Meraj

Publication date: 3 August 2021

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2021.100155

zbMATH Keywords

shock wavecontact discontinuityfifth-order WENO schemenon-conservative terminterfacial velocityinterfacial pressure

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Multiphase and multicomponent flows (76T99) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)

Related Items (2)

Quantification of wave attenuation in mangroves in Manila Bay using nonlinear shallow water equations ⋮ Numerical studies using staggered finite volume for dam break flow with an obstacle through different geometries

Cites Work

• Unnamed Item
• Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
• Hybrid well-balanced WENO schemes with different indicators for shallow water equations
• The Riemann problem for the Baer-Nunziato two-phase flow model
• Hyperbolic two-pressure models for two-phase flow
• A comment on the computation of non-conservative products
• A new formulation of Kapila's five-equation model for compressible two-fluid flow, and its numerical treatment
• Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Weighted essentially non-oscillatory schemes on triangular meshes
• A multiphase Godunov method for compressible multifluid and multiphase flows
• Weighted essentially non-oscillatory schemes
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• A new type of finite volume WENO schemes for hyperbolic conservation laws
• A pressure-invariant conservative Godunov-type method for barotropic two-fluid flows.
• High order finite-volume WENO scheme for five-equation model of compressible two-fluid flow
• A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes
• High order finite volume WENO schemes for the Euler equations under gravitational fields
• High-order well-balanced finite difference WENO schemes for a class of hyperbolic systems with source terms
• A Riemann solver and upwind methods for a two-phase flow model in non-conservative form
• Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD
• Mathematical and numerical modeling of two-phase compressible flows with micro-inertia.

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