Computer Methods in Applied Mechanics and Engineering
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Computer Methods in Applied Mechanics and Engineering
The discrete energy-momentum method: conserving algorithms for nonlinear elastodynamics
Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
Central difference TVD schemes for time dependent and steady state problems
Journal of Computational Physics
A high-order Godunov method for multiple condensed phases
Journal of Computational Physics
The Runge-Kutta discontinuous Galerkin method for conservation laws V multidimensional systems
Journal of Computational Physics
A second-order Godunov method for wave problems in coupled solid-water-gas systems
Journal of Computational Physics
A free-Lagrange augmented Godunov method for the simulation of elastic-plastic solids
Journal of Computational Physics
Locally Divergence-preserving Upwind Finite Volume Schemes for Magnetohydrodynamic Equations
SIAM Journal on Scientific Computing
BDF-like methods for nonlinear dynamic analysis
Journal of Computational Physics
Discretization of hyperelasticity on unstructured mesh with a cell-centered Lagrangian scheme
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.45 |
A vertex centred Finite Volume algorithm is presented for the numerical simulation of fast transient dynamics problems involving large deformations. A mixed formulation based upon the use of the linear momentum, the deformation gradient tensor and the total energy as conservation variables is discretised in space using linear triangles and tetrahedra in two-dimensional and three-dimensional computations, respectively. The scheme is implemented using central differences for the evaluation of the interface fluxes in conjunction with the Jameson-Schmidt-Turkel (JST) artificial dissipation term. The discretisation in time is performed by using a Total Variational Diminishing (TVD) two-stage Runge-Kutta time integrator. The JST algorithm is adapted in order to ensure the preservation of linear and angular momenta. The framework results in a low order computationally efficient solver for solid dynamics, which proves to be very competitive in nearly incompressible scenarios and bending dominated applications.