An asynchronous discontinuous Galerkin method for massively parallel PDE solvers

SK Goswami, K Aditya - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
The discontinuous Galerkin (DG) method is widely being used to solve hyperbolic partial
differential equations (PDEs) due to its ability to provide high-order accurate solutions in …

Efficient explicit numerical solutions of the time-dependent Schrödinger equation

W Van Dijk - Physical Review E, 2022 - APS
Explicit numerical solutions of the time-dependent Schrödinger equation are more efficient
than those obtained by commonly used implicit approaches. They are more practical …

Evaluation of finite difference based asynchronous partial differential equations solver for reacting flows

K Kumari, E Cleary, S Desai, DA Donzis… - Journal of …, 2023 - Elsevier
Next-generation exascale machines with extreme levels of parallelism will provide massive
computing resources for large scale numerical simulations of complex physical systems at …

Improved Approximate Dispersion Relation Analysis Using Deep Neural Network

AG Neelan - … Journal of Computer Mathematics: Computer Systems …, 2024 - Taylor & Francis
In this work, we revisit and propose some improvements in the combined spatial-temporal
approximate dispersion analysis (ADR). This analysis serves the purpose of quantifying …

Mathematical Modeling of the Heat Generated Through an Evaporator-Absorber Accompanied by Thermal Storage for the Solar Energy Applications

F Latrache, Z Hammouch, K Lamnaouar… - … Research in Africa, 2023 - Trans Tech Publ
An evaporator-absorber geometry allows the absorption of incident solar radiation
andconverts it into thermal energy useful for the evaporation of a working fluid. The …

Towards Asynchronous Simulations of Turbulent Flows: Accuracy, Performance, and Optimization

K Kumari - 2021 - search.proquest.com
Our understanding of turbulence has heavily relied on high-fidelity Direct Numerical
Simulations (DNS) that resolve all dynamically relevant scales. But because of the inherent …