Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics
type: Item
instance of: scholarly article
title: Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics
author: Saray Busto
author: L. Río-Martín
published in: Journal of Scientific Computing
publication date: 2025-01-27T00:00:00Z
Mathematics Subject Classification ID: 76Mxx
Mathematics Subject Classification ID: 65Mxx
Mathematics Subject Classification ID: 35Lxx
zbMATH DE Number: 7975322
zbMATH Keywords: semi-implicit structure-preserving scheme
zbMATH Keywords: finite volume methods
zbMATH Keywords: finite element methods
zbMATH Keywords: continuum mechanics
zbMATH Keywords: GPR model
MaRDI profile type: Publication
cites work: An Asymptotic-Preserving All-Speed Scheme for Fluid Dynamics and Nonlinear Elasticity
cites work: A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics
cites work: A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows
cites work: Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes
cites work: A projection hybrid finite volume/element method for low-Mach number flows
cites work: All Mach number second order semi-implicit scheme for the Euler equations of gas dynamics
cites work: An all Mach number semi-implicit hybrid finite volume/virtual element method for compressible viscous flows on Voronoi meshes
cites work: A cell-centered implicit-explicit Lagrangian scheme for a unified model of nonlinear continuum mechanics on unstructured meshes
cites work: A new family of semi-implicit finite volume/virtual element methods for incompressible flows on unstructured meshes
cites work: A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations
cites work: Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes
cites work: A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics
cites work: Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity
cites work: High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers
cites work: High order semi-implicit schemes for viscous compressible flows in 3D
cites work: A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows
cites work: A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers
cites work: A new class of simple, general and efficient finite volume schemes for overdetermined thermodynamically compatible hyperbolic systems
cites work: On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics
cites work: An arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations
cites work: A projection hybrid high order finite volume/finite element method for incompressible turbulent flows
cites work: A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes
cites work: Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems
cites work: Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes
cites work: Pressure method for the numerical solution of transient, compressible fluid flows
cites work: An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tension
cites work: An asymptotic-preserving all-speed scheme for the Euler and Navier-Stokes equations
cites work: Analysis of Godunov type schemes applied to the compressible Euler system at low Mach number
cites work: Inexact Newton Methods
cites work: A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach
cites work: A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
cites work: A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state
cites work: High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids
cites work: A unified hyperbolic formulation for viscous fluids and elastoplastic solids
cites work: On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws
cites work: A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations
cites work: High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
cites work: Q5329330
cites work: Q4425058
cites work: An overview of projection methods for incompressible flows
cites work: On the behavior of upwind schemes in the low Mach number limit. II: Godunov type schemes.
cites work: A fast numerical scheme for the Godunov-Peshkov-Romenski model of continuum mechanics
cites work: A numerical scheme for non-Newtonian fluids and plastic solids under the GPR model
cites work: Unified description of fluids and solids in smoothed particle hydrodynamics
cites work: An all-speed Roe-type scheme and its asymptotic analysis of low Mach number behaviour
cites work: An Implicit Staggered Hybrid Finite Volume/Finite Element Solver for the Incompressible Navier-Stokes Equations
cites work: Hyperbolic equations for heat transfer. Global solvability of the Cauchy problem
cites work: Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature
cites work: Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
cites work: Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
cites work: Multiple pressure variables methods for fluid flow at all Mach numbers
cites work: Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity
cites work: Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme
cites work: A hyperbolic model for viscous Newtonian flows
cites work: Q3817996
cites work: A new continuum model for general relativistic viscous heat-conducting media
cites work: Conservative models and numerical methods for compressible two-phase flow
cites work: Conservative hyperbolic formulation for compressible two-phase flow with different phase pressures and temperatures
cites work: Hyperbolic systems of thermodynamically compatible conservation laws in continuum mechanics.
cites work: A new class of efficient high order semi-Lagrangian IMEX discontinuous Galerkin methods on staggered unstructured meshes
cites work: Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure
cites work: A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes
cites work: 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

Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics (cites work)
cites work: An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity

Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics (cites work)
cites work: Riemann Solvers and Numerical Methods for Fluid Dynamics

Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics (cites work)
cites work: Towards very high order Godunov schemes

Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics (cites work)
cites work: Flux splitting schemes for the Euler equations

Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics (cites work)
cites work: High-order compact difference algorithm on half-staggered meshes for low Mach number flows

Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics (cites work)
cites work: A conservative pressure-correction method for flow at all speeds.

Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics (cites work)
cites work: Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry

Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics (cites work)
cites work: A divergence-free hybrid finite volume / finite element scheme for the incompressible MHD equations based on compatible finite element spaces with a posteriori limiting

Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics (DOI)
DOI: 10.1007/S10915-024-02770-4