A Model Numerical Scheme for the Propagation of phase Transitions in Solids
From MaRDI portal
Publication:4895596
DOI10.1137/S106482759426688XzbMath0860.35082MaRDI QIDQ4895596
Publication date: 21 April 1997
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
phase transitionsfinite difference schemevan der Waals fluidsmixed-type conservation lawsviscosity capillarity solutions
PDEs of mixed type (35M10) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in solid mechanics (74S20)
Related Items (13)
On convergence of solutions to the equation of viscoelasticity with capillarity ⋮ Analyticity of the nonlinear term forces convergence of solutions to two equations of continuum mechanics ⋮ Thermo-elastic aspects of dynamic nucleation ⋮ Functional entropy variables: a new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations ⋮ Open boundary conditions for the diffuse interface model in 1-D ⋮ Application of the Chebyshev pseudospectral method to van der Waals fluids ⋮ A local discontinuous Galerkin method for the propagation of phase transition in solids and fluids ⋮ Numerical study of phase transition in van der Waals fluid ⋮ Local discontinuous Galerkin method for the impact-induced wave in a slender cylinder composed of a non-convex elastic material ⋮ A kinetic method for hyperbolic-elliptic equations and its application in two-phase flow ⋮ Devising discontinuous Galerkin methods for nonlinear hyperbolic conservation laws ⋮ High-order entropy-conservative schemes and kinetic relations for van der Waals fluids ⋮ Energy stable discontinuous Galerkin method for compressible Navier-Stokes-Allen-Cahn system
This page was built for publication: A Model Numerical Scheme for the Propagation of phase Transitions in Solids
