An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tension
From MaRDI portal
Publication:6159405
DOI10.1007/s10915-022-02077-2arXiv2208.05893OpenAlexW4312204885MaRDI QIDQ6159405
Simone Chiocchetti, Michael Dumbser
Publication date: 5 May 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.05893
compressible two-phase flowsexactly curl-free structure-preserving schemehyperbolic surface tensionhyperbolic viscositysemi-analytical time integration of stiff strain relaxation source termsstaggered semi-implicit pressure-based method
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A hyperbolic model for viscous Newtonian flows
- Multi-solid and multi-fluid diffuse interface model: applications to dynamic fracture and fragmentation
- An asymptotic-preserving all-speed scheme for the Euler and Navier-Stokes equations
- Diffuse interface model for compressible fluid -- compressible elastic-plastic solid interaction
- Iterative solutions of mildly nonlinear systems
- Criterion of hyperbolicity in hyperelasticity in the case of the stored energy in separable form
- The Riemann problem for the Baer-Nunziato two-phase flow model
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- Conservative models and numerical methods for compressible two-phase flow
- A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state
- Natural discretizations for the divergence, gradient, and curl on logically rectangular grids
- Mimetic finite difference method
- Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations
- Solid-fluid diffuse interface model in cases of extreme deformations
- Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature
- Reale: a Reconnection-based Arbitrary-Lagrangian-Eulerian method
- On an accurate third order implicit-explicit Runge-Kutta method for stiff problems
- A multiphase Godunov method for compressible multifluid and multiphase flows
- Systems of thermodynamically coordinated laws of conservation invariant under rotations
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
- Divergence correction techniques for Maxwell solvers based on a hyperbolic model
- A discrete operator calculus for finite difference approximations
- Hyperbolic systems of thermodynamically compatible conservation laws in continuum mechanics.
- Hyperbolic divergence cleaning for the MHD equations
- A well balanced diffuse interface method for complex nonhydrostatic free surface flows
- All Mach number second order semi-implicit scheme for the Euler equations of gas dynamics
- A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes
- A model and numerical method for compressible flows with capillary effects
- A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers
- A solution-adaptive upwind scheme for ideal magnetohydrodynamics
- Semi-implicit finite difference methods for the two-dimensional shallow water equations
- A second-order projection method for the incompressible Navier-Stokes equations
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- The extension of incompressible flow solvers to the weakly compressible regime
- Discrete equations for physical and numerical compressible multiphase mixtures.
- How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach
- A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes
- An efficient second order all Mach finite volume solver for the compressible Navier-Stokes equations
- On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems
- On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows
- A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach
- A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics
- High order entropy preserving ADER-DG schemes
- Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows
- High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes
- A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows
- Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure
- A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics
- High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers
- An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity
- High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension
- A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations
- A cell-centered implicit-explicit Lagrangian scheme for a unified model of nonlinear continuum mechanics on unstructured meshes
- A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model
- Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems
- A numerical scheme for non-Newtonian fluids and plastic solids under the GPR model
- An interface-capturing Godunov method for the simulation of compressible solid-fluid problems
- A unified Eulerian framework for multimaterial continuum mechanics
- On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations
- A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes
- Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme
- HLLC-type and path-conservative schemes for a single-velocity six-equation two-phase flow model: a comparative study
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Flux splitting schemes for the Euler equations
- High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids
- Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws
- Modelling wave dynamics of compressible elastic materials
- Thermodynamically consistent nonlinear model of elastoplastic Maxwell medium
- A Nested Newton-Type Algorithm for Finite Volume Methods Solving Richards' Equation in Mixed Form
- Pressure method for the numerical solution of transient, compressible fluid flows
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- Finite element exterior calculus, homological techniques, and applications
- Error Analysis of IMEX Runge–Kutta Methods Derived from Differential-Algebraic Systems
- Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations
- On a Class of Uniformly Accurate IMEX Runge–Kutta Schemes and Applications to Hyperbolic Systems with Relaxation
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
- Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
- Compressible and incompressible fluids
- A semi-implicit finite difference method for non-hydrostatic, free-surface flows
- Experimental study of the Richtmyer–Meshkov instability of incompressible fluids
- Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
- On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics
- A Cartesian Scheme for Compressible Multimaterial Hyperelastic Models with Plasticity
- Extended Lagrangian approach for the defocusing nonlinear Schrödinger equation
- An Asymptotic-Preserving All-Speed Scheme for Fluid Dynamics and Nonlinear Elasticity
- Conservative hyperbolic formulation for compressible two-phase flow with different phase pressures and temperatures
- High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
- Multiple pressure variables methods for fluid flow at all Mach numbers
- Asymptotic adaptive methods for multi-scale problems in fluid mechanics
- An all Mach number finite volume method for isentropic two-phase flow
