Modeling wavefields in saturated elastic porous media based on thermodynamically compatible system theory for two-phase solid-fluid mixtures
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Publication:2189076
DOI10.1016/j.compfluid.2020.104587OpenAlexW2979906489MaRDI QIDQ2189076
Michael Dumbser, Evgeniy Romenski, I. M. Peshkov, Galina Vitalievna Reshetova
Publication date: 15 June 2020
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.04207
dispersion relationBiot modelmulti-phase flowsporoelasticityfinite difference staggered methodSHTC equations
Related Items (6)
Analysis of shock waves in a mixture theory of a thermoelastic solid and fluid with distinct temperatures ⋮ A numerical investigation of wave-induced fluid flows in anisotropic fractured porous media ⋮ Structure-preserving discretizations for nonlinear systems of hyperbolic, involution-constrained partial differential equations on manifolds. Abstracts from the workshop held April 10--16, 2022 ⋮ Diffuse interface approach to modeling wavefields in a saturated porous medium ⋮ Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows ⋮ Two-phase hyperbolic model for porous media saturated with a viscous fluid and its application to wavefields simulation
Cites Work
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- A hyperbolic model for viscous Newtonian flows
- Criterion of hyperbolicity in hyperelasticity in the case of the stored energy in separable form
- Conservative models and numerical methods for compressible two-phase flow
- Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations
- Dispersion relation in the high frequency limit and non linear wave stability for hyperbolic dissipative systems
- Systems of thermodynamically coordinated laws of conservation invariant under rotations
- Hyperbolic systems of thermodynamically compatible conservation laws in continuum mechanics.
- Consistent theory of mixtures on different levels of description
- A unified hyperbolic formulation for viscous fluids and elastoplastic solids
- A hierarchy of Poisson brackets in non-equilibrium thermodynamics
- Multiphase flow in deforming porous media: a review
- High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids
- Irreversible mechanics and thermodynamics of two-phase continua experiencing stress-induced solid-fluid transitions
- Conservative formulation for compressible multiphase flows
- Multiscale Thermo-Dynamics
- Symmetric positive linear differential equations
- Mechanics of Deformation and Acoustic Propagation in Porous Media
- Rational Extended Thermodynamics beyond the Monatomic Gas
- Conservative hyperbolic formulation for compressible two-phase flow with different phase pressures and temperatures
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