12 citations · 17 across the 6 of their papers we have counts for
8 papers
Sign-switched antithetic coupling in gradient random-walk methods for convection-diffusion equations
Stephen Abkin, Prabir Daripa
We propose an antithetic coupling that reduces the computational cost of gradient random-walk methods for one-dimensional convection-diffusion equations. The methods represent the…
A Fast Nonuniform Solver for the Poisson Equation over a Disk
Charlie Pyle, Prabir Daripa
We study fast numerical methods for the Poisson equation on a disk within the FFTRR (Fast Fourier Transform Radial Recurrence) framework, which is built on Green's function represe…
Error attribution in gradient random walk methods for parabolic equations
Stephen Abkin, Prabir Daripa
Gradient random walk (GRW) methods represent a solution's spatial derivative by weighted particles and recover the solution by cumulative summation. We examine their accuracy for t…
Modelling shear thinning polymer flooding using a dynamic viscosity model
Prabir Daripa, Rohit Mishra
Two distinct effects that polymers exhibit are shear thinning and viscoelasticity. The shear thinning effect is important as the polymers used in chemical enhanced oil recovery usu…
Stability Results on Radial Porous Media and Hele-Shaw Flows with Variable Viscosity Between Two Moving Interfaces
Craig Gin, Prabir Daripa
We perform a linear stability analysis of three-layer radial porous media and Hele-Shaw flows with variable viscosity in the middle layer. A nonlinear change of variables results i…
Time-dependent injection strategies and interfacial stability in multi-layer Hele-Shaw and porous media flows
Craig Gin, Prabir Daripa
We study the stability of multi-layer radial flows in porous media within the Hele-Shaw model. We perform a linear stability analysis for radial flows consisting of an arbitrary nu…
On the convergence analysis of a hybrid numerical method for multicomponent transport in porous media
Prabir Daripa, Sourav Dutta
In this article, the convergence of a hybrid numerical method introduced in Daripa and Dutta (J. Comput. Phys., 335:249-282, 2017) has been established. This method integrates a di…
On a three-layer Hele-Shaw model of enhanced oil recovery with a linear viscous profile
Prabir Daripa, Oscar Orellana, Rodrigo Meneses
We present a non-standard eigenvalue problem that arises in the linear stability of a three-layer Hele-Shaw model of enhanced oil recovery. A nonlinear transformation is introduced…