226 citations · 733 across the 101 of their papers we have counts for
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A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations
Biswajit Khara, Suresh Murugaiyan, Makrand Khanwale +1
The Galerkin finite element formulation of the incompressible Navier-Stokes equations presents two principal challenges: maintaining stable velocity-pressure coupling and controlli…
Field conserving adaptive mesh refinement (AMR) scheme on massively parallel adaptive octree meshes
Kumar Saurabh, Makrand A. Khanwale, Masado Ishii +2
Adaptive mesh refinement (AMR) is widely used to efficiently resolve localized features in time-dependent partial differential equations (PDEs) by selectively refining and coarseni…
Solving fluid flow problems in space-time with multiscale stabilization: formulation and examples
Biswajit Khara, Robert Dyja, Kumar Saurabh +2
We present a space-time continuous-Galerkin finite element method for solving incompressible Navier-Stokes equations. To ensure stability of the discrete variational problem, we ap…
Optimal Surrogate Boundary Selection and Scalability Studies for the Shifted Boundary Method on Octree Meshes
Cheng-Hau Yang, Kumar Saurabh, Guglielmo Scovazzi +3
The accurate and efficient simulation of Partial Differential Equations (PDEs) in and around arbitrarily defined geometries is critical for many application domains. Immersed bound…
Space-time finite element analysis of the advection-diffusion equation using Galerkin/least-square stabilization
Biswajit Khara, Kumar Saurabh, Robert Dyja +2
We present a full space-time numerical solution of the advection-diffusion equation using a continuous Galerkin finite element method on conforming meshes. The Galerkin/least-squar…
Direct numerical simulation of electrokinetic transport phenomena in fluids: variational multi-scale stabilization and octree-based mesh refinement
Sungu Kim, Kumar Saurabh, Makrand A. Khanwale +3
Computational modeling of charged species transport has enabled the analysis, design, and optimization of a diverse array of electrochemical and electrokinetic devices. These syste…
Scalable adaptive PDE solvers in arbitrary domains
Kumar Saurabh, Masado Ishii, Milinda Fernando +6
Efficiently and accurately simulating partial differential equations (PDEs) in and around arbitrarily defined geometries, especially with high levels of adaptivity, has significant…
A projection-based, semi-implicit time-stepping approach for the Cahn-Hilliard Navier-Stokes equations on adaptive octree meshes
Makrand A. Khanwale, Kumar Saurabh, Masado Ishii +3
The Cahn-Hilliard Navier-Stokes (CHNS) system provides a computationally tractable model that can be used to effectively capture interfacial dynamics in two-phase fluid flows. In t…
A fully-coupled framework for solving Cahn-Hilliard Navier-Stokes equations: Second-order, energy-stable numerical methods on adaptive octree based meshes
Makrand A Khanwale, Kumar Saurabh, Milinda Fernando +4
We present a fully-coupled, implicit-in-time framework for solving a thermodynamically-consistent Cahn-Hilliard Navier-Stokes system that models two-phase flows. In this work, we e…
Industrial scale large eddy simulations (LES) with adaptive octree meshes using immersogeometric analysis
Kumar Saurabh, Boshun Gao, Milinda Fernando +7
We present a variant of the immersed boundary method integrated with octree meshes for highly efficient and accurate Large-Eddy Simulations (LES) of flows around complex geometries…
Simulating two-phase flows with thermodynamically consistent energy stable Cahn-Hilliard Navier-Stokes equations on parallel adaptive octree based meshes
Makrand A Khanwale, Alec D. Lofquist, Hari Sundar +2
We report on simulations of two-phase flows with deforming interfaces at various density contrasts by solving thermodynamically consistent Cahn-Hilliard Navier-Stokes equations. An…
Constructing low-dimensional stochastic wind models through hierarchical spatial temporal decomposition
Qiang Guo, Daniel Rajewski, Eugene Takle +1
Current wind turbine simulations successfully use turbulence generating tools for modeling behavior. However, they lack the ability to reproduce variabilities in wind dynamics and…