Novel hybrid compact schemes for stream function–velocity formulation of the incompressible Navier–Stokes equations

VS Yadav, V Maurya, PK Maurya, MK Rajpoot - Physics of Fluids, 2023 - pubs.aip.org
In this paper, we have developed new hybrid compact schemes for the simulation of stream
function–velocity formulation of a two-dimensional incompressible Navier–Stokes equation …

[PDF][PDF] Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media

S Kumar, B Ramcharan, VS Yadav, A Singh… - Adv. Appl. Math …, 2024 - doc.global-sci.org
In this article, we have developed a new time-marching method to simulate sound and
soliton propagation in homogeneous and heterogeneous media. The proposed time …

New compact difference schemes on non‐uniform collocated and staggered grids for convection‐dominated flows

VS Yadav, PK Maurya… - International Journal for …, 2023 - Wiley Online Library
This paper deals with the formulation of the tridiagonal compact difference schemes for
derivatives up to second‐order with boundary stencils on non‐uniform grids. A compact …

[PDF][PDF] Numerical Analysis and Simulations of Reactive Dynamical Systems in the Stiff Regime

VS Yadav - 2023 - rgipt.ac.in
Physical systems of interest often exhibit complexity stemming from the interaction of various
processes operating at different temporal and spatial scales, resulting in stiff systems of …