5 papers
Pore-network stitching method: A pore-to-core upscaling approach for multiphase flow
Amir H. Kohanpur, Albert J. Valocchi
Pore-network modeling is a widely used predictive tool for pore-scale studies in various applications that deal with multiphase flow in porous media. Despite recent improvements to…
Multiphase lattice Boltzmann simulations for porous media applications -- a review
Haihu Liu, Qinjun Kang, Christopher R. Leonardi +6
Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media. In addition to single…
A numerical framework for diffusion-controlled bimolecular-reactive systems to enforce maximum principles and non-negative constraint
K. B. Nakshatrala, M. K. Mudunuru, A. J. Valocchi
We present a novel computational framework for diffusive-reactive systems that satisfies the non-negative constraint and maximum principles on general computational grids. The gove…
Variational structure of the optimal artificial diffusion method for the advection-diffusion equation
K. B. Nakshatrala, A. J. Valocchi
In this research note we provide a variational basis for the optimal artificial diffusion method, which has been a cornerstone in developing many stabilized methods. The optimal ar…
Non-negative mixed finite element formulations for a tensorial diffusion equation
K. B. Nakshatrala, A. J. Valocchi
We consider the tensorial diffusion equation, and address the discrete maximum-minimum principle of mixed finite element formulations. In particular, we address non-negative soluti…