5 papers
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…
A Semi-Implicit Variational Multiscale Formulation for the Incompressible Navier-Stokes Equations via Exact Adjoint Linearization
Biswajit Khara, Suresh Murugaiyan, Suriya Dhakshinamoorthy +3
A semi-implicit, residual-based variational multiscale (VMS) formulation is developed for the incompressible Navier--Stokes equations. The approach linearizes convection using an e…
Modeling and simulations of high-density two-phase flows using projection-based Cahn-Hilliard Navier-Stokes equations
Ali Rabeh, Makrand A. Khanwale, John J. Lee +1
Accurately modeling the dynamics of high-density ratio () two-phase flows is important for many material science and manufacturing applications. This work consid…
A mass-conserving contact line treatment for second-order conservative phase field methods based on the generalized Navier boundary condition
Reed L. Brown, Shahab Mirjalili, Makrand A. Khanwale +1
A mass-conserving contact line treatment for second-order conservative phase field methods is presented and applied to the conservative diffuse interface (CDI) model. The treatment…