28 citations · 84 across the 6 of their papers we have counts for
6 papers
A unified Eulerian framework for multimaterial continuum mechanics
Haran Jackson, Nikos Nikiforakis
A framework for simulating the interactions between multiple different continua is presented. Each constituent material is governed by the same set of equations, differing only in…
A Numerical Scheme for Non-Newtonian Fluids and Plastic Solids under the GPR Model
Haran Jackson, Nikos Nikiforakis
A method for modelling non-Newtonian fluids (dilatants and pseudoplastics) by a power law under the Godunov-Peshkov-Romenski model is presented, along with a new numerical scheme f…
The Montecinos-Balsara ADER-FV Polynomial Basis: Convergence Properties & Extension to Non-Conservative Multidimensional Systems
Haran Jackson
Hyperbolic systems of PDEs can be solved to arbitrary orders of accuracy by using the ADER Finite Volume method. These PDE systems may be non-conservative and non-homogeneous, and…
A Fast Numerical Scheme for the Godunov-Peshkov-Romenski Model of Continuum Mechanics
Haran Jackson
A new second-order numerical scheme based on an operator splitting is proposed for the Godunov-Peshkov-Romenski model of continuum mechanics. The homogeneous part of the system is…
On the Eigenvalues of the ADER-WENO Galerkin Predictor
Haran Jackson
ADER-WENO methods have proved extremely useful in obtaining arbitrarily high-order solutions to problems involving hyperbolic systems of PDEs. For example, it has been demonstrated…
A Two-Level Variant of Additive Schwarz Preconditioning for Use in Reservoir Simulation
Haran Jackson, Michele Taroni, David Ponting
The computation time for reservoir simulation is dominated by the linear solver. The sets of linear equations which arise in reservoir simulation have two distinctive features: the…