An implicit low-diffusive HLL scheme with complete time linearization: application to cavitating barotropic flows

DOI10.1016/j.compfluid.2010.07.002zbMath1245.76046OpenAlexW1985405219MaRDI QIDQ448098

Marco Bilanceri, François Beux, Maria-Vittoria Salvetti

Publication date: 30 August 2012

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2010.07.002

zbMATH Keywords

cavitating barotropic flowsimplicit time advancinglow-diffusive HLL schemetime flux linearization

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Computational analysis of turbulent super-cavitating flow around a two-dimensional wedge-shaped cavitator geometry, Numerical study of expansion tube problems: toward the simulation of cavitation, A mixture-energy-consistent six-equation two-phase numerical model for fluids with interfaces, cavitation and evaporation waves, Wave Structure Similarity of the HLLC and Roe Riemann Solvers: Application to Low Mach Number Preconditioning, A comparative study of cavitation models in a Venturi flow, Implementation of a transpiration velocity based cavitation model within a RANSE solver, Low Mach number preconditioning techniques for roe-type and HLLC-type methods for a two-phase compressible flow model, Simulation of Compressible Two-Phase Flows Using a Void Ratio Transport Equation, Efficient implementation of high order unstructured WENO schemes for cavitating flows

Uses Software

• TAPENADE
• HLLE

Cites Work

• Unnamed Item
• Unnamed Item
• A pressure-based method for turbulent cavitating flow computations
• Isentropic one-fluid modelling of unsteady cavitating flow
• A low-diffusion MUSCL scheme for LES on unstructured grids
• A numerical method for 3D barotropic flows in turbomachinery
• On Godunov-type methods near low densities
• Numerical simulation of cavitating flows with homogeneous models
• Construction of explicit and implicit symmetric TVD schemes and their applications
• Approximate Riemann solvers, parameter vectors, and difference schemes
• On the dissipation mechanism of Godunov-type schemes
• A preconditioned Navier-Stokes method for two-phase flows with application to cavitation prediction
• On the behaviour of upwind schemes in the low Mach number limit
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Stability of preconditioned Navier--Stokes equations associated with a cavitation model
• A second order defect correction scheme for unsteady problems
• Towards the simulation of cavitating flows in inducers through a homogeneous barotropic flow model
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Simplified Second-Order Godunov-Type Methods
• Numerical simulation of cavitating flow in 2D and 3D inducer geometries
• A numerical study of non-cavitating and cavitating liquid flow around a hydrofoil
• An accurate, fast, matrix-free implicit method for computing unsteady flows on unstructured grids
• Stability analysis of segregated solution methods for compressible flow
• An overview and generalization of implicit Navier-Stokes algorithms and approximate factoriza\-tion.