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 …

High-order accurate implicit-explicit time-stepping schemes for wave equations on overset grids

AM Carson, JW Banks, WD Henshaw… - Journal of …, 2025 - Elsevier
New implicit and implicit-explicit time-stepping methods for the wave equation in second-
order form are described with application to two and three-dimensional problems discretized …

Efficient hyperbolic–parabolic models on multi‐dimensional unbounded domains using an extended DG approach

F Vismara, T Benacchio - International Journal for Numerical …, 2024 - Wiley Online Library
We introduce an extended discontinuous Galerkin discretization of hyperbolic–parabolic
problems on multidimensional semi‐infinite domains. Building on previous work on the one …

High Order Solution to Exterior 3D Wave Equation by the Method of Difference Potentials

FF Smith, S Tsynkov, E Turkel - Spectral and High Order Methods for …, 2022 - Springer
We solve the 3D acoustic wave equation with variable propagation speed in an unbounded
domain with fourth order accuracy in time and space. The unbounded domain is truncated …

[图书][B] A High Order Compact Scheme for Interior/exterior 3D Wave Equation by the Method of Difference Potentials

FF Smith - 2022 - search.proquest.com
In this work we develop several high order compact schemes for solving the three
dimensional acoustic wave equation with variable speed of sound. We consider when the …

A new finite difference approach for MHD flow

G Öğütcü - 2023 - open.metu.edu.tr
The magnetohydrodynamic (MHD) flow equations with mixed-type boundary conditions,
which are presented in this thesis as modified Helmholtz equations, are numerically solved …