[HTML][HTML] High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids
This paper is concerned with the numerical solution of the unified first order hyperbolic
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …
A hyperbolic model for viscous Newtonian flows
I Peshkov, E Romenski - Continuum Mechanics and Thermodynamics, 2016 - Springer
We discuss a pure hyperbolic alternative to the Navier–Stokes equations, which are of
parabolic type. As a result of the substitution of the concept of the viscosity coefficient by a …
parabolic type. As a result of the substitution of the concept of the viscosity coefficient by a …
High order ADER schemes for continuum mechanics
In this paper we first review the development of high order ADER finite volume and ADER
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …
Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations
Continuum mechanics with dislocations, with the Cattaneo-type heat conduction, with mass
transfer, and with electromagnetic fields is put into the Hamiltonian form and into the form of …
transfer, and with electromagnetic fields is put into the Hamiltonian form and into the form of …
A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics
We propose a new pressure-based structure-preserving (SP) and quasi asymptotic
preserving (AP) staggered semi-implicit finite volume scheme for the unified first order …
preserving (AP) staggered semi-implicit finite volume scheme for the unified first order …
[HTML][HTML] Mixed convection heat transfer by nanofluids in a cavity with two oscillating flexible fins: A fluid–structure interaction approach
E Jamesahar, M Sabour, M Shahabadi… - Applied Mathematical …, 2020 - Elsevier
This study investigated the effects of two oscillating fins on the heat transfer rate and flow
characteristics of a nanofluid inside a square enclosure. Both fins were attached to the hot …
characteristics of a nanofluid inside a square enclosure. Both fins were attached to the hot …
[HTML][HTML] High order ADER schemes for a unified first order hyperbolic formulation of Newtonian continuum mechanics coupled with electro-dynamics
In this paper, we propose a new unified first order hyperbolic model of Newtonian continuum
mechanics coupled with electro-dynamics. The model is able to describe the behavior of …
mechanics coupled with electro-dynamics. The model is able to describe the behavior of …
Reference map technique for finite-strain elasticity and fluid–solid interaction
K Kamrin, CH Rycroft, JC Nave - Journal of the Mechanics and Physics of …, 2012 - Elsevier
The reference map, defined as the inverse motion function, is utilized in an Eulerian-frame
representation of continuum solid mechanics, leading to a simple, explicit finite-difference …
representation of continuum solid mechanics, leading to a simple, explicit finite-difference …
A conservative level-set based method for compressible solid/fluid problems on fixed grids
PT Barton, B Obadia, D Drikakis - Journal of Computational Physics, 2011 - Elsevier
A three-dimensional Eulerian method is presented for simulating dynamic systems
comprising multiple compressible solid and fluid components where internal boundaries are …
comprising multiple compressible solid and fluid components where internal boundaries are …
Discretization of hyperelasticity on unstructured mesh with a cell-centered Lagrangian scheme
We present a new cell-centered Lagrangian scheme on unstructured mesh for
hyperelasticity. It is based on the recently proposed Glace scheme [11] for compressible gas …
hyperelasticity. It is based on the recently proposed Glace scheme [11] for compressible gas …