4 papers
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…
High-Resolution Thermal Simulation Framework for Extrusion-based Additive Manufacturing of Complex Geometries
Dhruv Gamdha, Kumar Saurabh, Baskar Ganapathysubramanian +1
Accurate simulation of the printing process is essential for improving print quality, reducing waste, and optimizing the printing parameters of extrusion-based additive manufacturi…
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…
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…