70 citations · 235 across the 17 of their papers we have counts for
17 papers
A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa-Holm system
Sondre Tesdal Galtung, Xavier Raynaud
We define a kinetic and a potential energy such that the principle of stationary action from Lagrangian mechanics yields a Camassa--Holm system (2CH) as the governing equations. Af…
Robust chemical solver for fully-implicit simulations
McNeece Colin, Raynaud Xavier, Nilsen Halvor +1
The study of geological systems requires the solution of complex geochemical relations. We present an implementation of a chemical solver which can handle various types of models,…
Symmetries and multipeakon solutions for the modified two-component Camassa-Holm system
Katrin Grunert, Xavier Raynaud
Compared with the two-component Camassa-Holm system, the modified two-component Camassa-Holm system introduces a regularized density which makes possible the existence of solutions…
Combining the Modified Discrete Element Method with the Virtual Element Method for Fracturing of Porous Media
Halvor Møll Nilsen, Idar Larsen, Xavier Raynaud
Simulation of fracturing processes in porous rocks can be divided into two main branches: (i) modeling the rock as a continuum which is enhanced with special features to account fo…
Virtual Element Method for geomechanics on reservoir grids
Odd Andersen, Halvor M. Nilsen, Xavier Raynaud
In this paper we study the use of Virtual Element method for geomechanics. Our emphasis is on applications to reservoir simulations. The physical processes that form the reservoirs…
Comparison between cell-centered and nodal based discretization schemes for linear elasticity
Nilsen Halvor, Nordbotten Jan, Raynaud Xavier
In this paper we study newly developed methods for linear elasticity on polyhedral meshes. Our emphasis is on applications of the methods to geological models. Models of subsurface…