41 citations · 383 across the 48 of their papers we have counts for
10 papers · 1 filter
Closed-loop geothermal systems: Modeling and predictions
K. Adhikari, M. K. Mudunuru, K. B. Nakshatrala
Geothermal energy is a sustainable baseload source recognized for its ability to provide clean energy on a large scale. Advanced Geothermal Systems (AGS) -- offer promising prototy…
On interface conditions for flows in coupled free-porous media
K. B. Nakshatrala, M. S. Joshaghani
Many processes in nature (e.g., physical and biogeochemical processes in hyporheic zones, and arterial mass transport) occur near the interface of free-porous media. A firm underst…
Composable block solvers for the four-field double porosity/permeability model
M. S. Joshaghani, J. Chang, K. B. Nakshatrala +1
The objective of this paper is twofold. First, we propose two composable block solver methodologies to solve the discrete systems that arise from finite element discretizations of…
Global sensitivity analysis of frequency band gaps in one-dimensional phononic crystals
W. Witarto, K. B. Nakshatrala, Y. L. Mo
Phononic crystals have been widely employed in many engineering fields, which is due to their unique feature of frequency band gaps. For example, their capability to filter out the…
A stabilized mixed discontinuous Galerkin formulation for double porosity/permeability model
M. S. Joshaghani, S. H. S. Joodat, K. B. Nakshatrala
Modeling flow through porous media with multiple pore-networks has now become an active area of research due to recent technological endeavors like geological carbon sequestration…
A scalable variational inequality approach for flow through porous media models with pressure-dependent viscosity
N. K. Mapakshi, J. Chang, K. B. Nakshatrala
Mathematical models for flow through porous media typically enjoy the so-called maximum principles, which place bounds on the pressure field. It is highly desirable to preserve the…
Modeling flow in porous media with double porosity/permeability: A stabilized mixed formulation, error analysis, and numerical solutions
S. H. S. Joodat, K. B. Nakshatrala, R. Ballarini
The flow of incompressible fluids through porous media plays a crucial role in many technological applications such as enhanced oil recovery and geological carbon-dioxide sequestra…
Variational inequality approach to enforce the non-negative constraint for advection-diffusion equations
J. Chang, K. B. Nakshatrala
Predictive simulations are crucial for the success of many subsurface applications, and it is highly desirable to obtain accurate non-negative solutions for transport equations in…
A hybrid multi-time-step framework for pore-scale and continuum-scale modeling of solute transport in porous media
S. Karimi, K. B. Nakshatrala
In this paper, we propose a computational framework,which is based on a domain decomposition technique, to employ both finite element method (which is a popular continuum modeling…
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…