74 citations · 272 across the 16 of their papers we have counts for
17 papers
Generating Finite Element Codes combining Adaptive Octrees with Complex Geometries
Eric Heisler, Cheng-Hau Yang, Aadesh Deshmukh +2
We present a high-level domain-specific language (DSL) interface to drive an adaptive incomplete -d tree-based framework for finite element (FEM) solutions to PDEs. This DSL pro…
An autoencoder compression approach for accelerating large-scale inverse problems
Jonathan Wittmer, Jacob Badger, Hari Sundar +1
PDE-constrained inverse problems are some of the most challenging and computationally demanding problems in computational science today. Fine meshes that are required to accurately…
Massively parallel simulations of binary black holes with Dendro-GR
Milinda Fernando, David Neilsen, Yosef Zlochower +2
We present results from the new Dendro-GR code. These include simulations of binary black hole mergers for mass ratios up to q=16. Dendro-GR uses Wavelet Adaptive Multi-Resolution…
Breakup dynamics in primary jet atomization using mesh- and interface- refined Cahn-Hilliard Navier-Stokes
Makrand A. Khanwale, Kumar Saurabh, Masado Ishii +2
We present a technique to perform interface-resolved simulations of complex breakup dynamics in two-phase flows using the Cahn-Hilliard Navier-Stokes equations. The method dynamica…
Scalable adaptive algorithms for next-generation multiphase flow simulations
Kumar Saurabh, Masado Ishii, Makrand A. Khanwale +2
High-fidelity flow simulations are indispensable when analyzing systems exhibiting multiphase flow phenomena. The accuracy of multiphase flow simulations is strongly contingent upo…
Case study of SARS-CoV-2 transmission risk assessment in indoor environments using cloud computing resources
Kumar Saurabh, Santi Adavani, Kendrick Tan +5
Complex flow simulations are conventionally performed on HPC clusters. However, the limited availability of HPC resources and steep learning curve of executing on traditional super…
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…
Scalable Local Timestepping on Octree Grids
Milinda Fernando, Hari Sundar
Numerical solutions of hyperbolic partial differential equations(PDEs) are ubiquitous in science and engineering. Method of lines is a popular approach to discretize PDEs defined i…
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…
A Scalable Framework for Solving Fractional Diffusion Equations
Max Carlson, Robert M. Kirby, Hari Sundar
The study of fractional order differential operators is receiving renewed attention in many scientific fields. In order to accommodate researchers doing work in these areas, there…
Massively Parallel Simulations of Binary Black Hole Intermediate-Mass-Ratio Inspirals
Milinda Fernando, David Neilsen, Hyun Lim +2
We present a highly-scalable framework that targets problems of interest to the numerical relativity and broader astrophysics communities. This framework combines a parallel octree…
FFT, FMM, or Multigrid? A comparative Study of State-Of-the-Art Poisson Solvers for Uniform and Nonuniform Grids in the Unit Cube
Amir Gholami, Dhairya Malhotra, Hari Sundar +1
In this work, we benchmark and discuss the performance of the scalable methods for the Poisson problem which are used widely in practice: the fast Fourier transform (FFT), the fast…
Comparison of Multigrid Algorithms for High-order Continuous Finite Element Discretizations
Hari Sundar, Georg Stadler, George Biros
We present a comparison of different multigrid approaches for the solution of systems arising from high-order continuous finite element discretizations of elliptic partial differen…
A Nested Partitioning Scheme for Parallel Heterogeneous Clusters
Jesse Kelly, Omar Ghattas, Hari Sundar
Modern supercomputers are increasingly requiring the presence of accelerators and co-processors. However, it has not been easy to achieve good performance on such heterogeneous clu…