12 citations · 13 across the 5 of their papers we have counts for
5 papers
Pressure stability in explicitly coupled simulations of poromechanics with application to CO sequestration
Ryan M. Aronson, Pavel Tomin, Nicola Castelletto +3
We study in detail the pressure stabilizing effects of the non-iterated fixed-stress splitting in poromechanical problems which are nearly undrained and incompressible. When applie…
Pressure-stabilized fixed-stress iterative solutions of compositional poromechanics
Ryan M. Aronson, Nicola Castelletto, François P. Hamon +2
We consider the numerical behavior of the fixed-stress splitting method for coupled poromechanics as undrained regimes are approached. We explain that pressure stability is related…
Stabilized Isogeometric Collocation Methods for Hyperbolic Conservation Laws
Ryan M. Aronson, John A. Evans
We introduce stabilized spline collocation schemes for the numerical solution of nonlinear, hyperbolic conservation laws. A nonlinear, residual-based viscosity stabilization is com…
Stabilized Isogeometric Collocation Methods For Scalar Transport and Incompressible Fluid Flow
Ryan M. Aronson, Corey Wetterer-Nelson, John A. Evans
In this work we adapt classical residual-based stabilization techniques to the spline collocation setting. Inspired by the Streamline-Upwind-Petrov-Galerkin and Pressure-Stabilizin…
Divergence-Conforming Isogeometric Collocation Methods for the Incompressible Navier-Stokes Equations
Ryan M. Aronson, John A. Evans
We develop two isogeometric divergence-conforming collocation schemes for incompressible flow. The first is based on the standard, velocity-pressure formulation of the Navier-Stoke…