activity
20212026
most citedA projection-based, semi-implicit time-stepping approach for the Cahn-Hilliard Navier-Stokes equations on adaptive octree meshes

25 citations · 44 across the 8 of their papers we have counts for

collaborators

8 papers

cs.DS2026

Towards Fully Dynamic Omnitrees: Moment-Conserving Anisotropic Compression With Wavelets

Theresa Pollinger, Masado Ishii, Jens Domke

Recently, omnitrees were introduced as a flexible space partitioning tree that improves upon the benefits of both octrees and k-d trees: Omnitrees' efficient encoding of anisotropi…

math.NA2026

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…

cs.DS2025

The Beauty of Anisotropic Mesh Refinement: Omnitrees for Efficient Dyadic Discretizations

Theresa Pollinger, Masado Ishii, Jens Domke

Structured adaptive mesh refinement (AMR), commonly implemented via quadtrees and octrees, underpins a wide range of applications including databases, computer graphics, physics si…

physics.flu-dyn2022★ 2 cited

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…

physics.comp-ph2022

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…

cs.DC2021

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…

math.NA2021★ 17 cited

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…

math.NA2021★ 25 cited

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…