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 …

Non-orthogonal multiple-relaxation-time lattice Boltzmann method for vorticity-streamfunction formulation

D Li, F Li, B Xu - Computers & Mathematics with Applications, 2023 - Elsevier
In this work, we propose a non-orthogonal multiple-relaxation-time (MRT) lattice Boltzmann
method (LBM) for the two-dimensional (2D) incompressible Navier-Stokes equations in …

[HTML][HTML] An upwind compact difference scheme for solving the streamfunction–velocity formulation of the unsteady incompressible Navier–Stokes equation

PX Yu, ZF Tian - Computers & Mathematics with Applications, 2018 - Elsevier
In this paper, an upwind compact difference method with second-order accuracy both in
space and time is proposed for the streamfunction–velocity formulation of the unsteady …

A fast and robust hybrid method for block‐structured mesh deformation with emphasis on FSI‐LES applications

S Sen, G De Nayer, M Breuer - International Journal for …, 2017 - Wiley Online Library
The present work introduces an efficient technique for the deformation of block‐structured
grids occurring in simulations of fluid–structure interaction (FSI) problems relying on large …

A less time-consuming upwind compact difference method with adjusted dissipation property for solving the unsteady incompressible Navier-Stokes equations

JB Lu, ZX Chen, ZF Tian - Computers & Mathematics with Applications, 2022 - Elsevier
In this paper, a new strategy to establish less time-consuming upwind compact difference
method with adjusted dissipation is introduced for solving the incompressible Navier-Stokes …

Vortex dynamics of accelerated flow past a mounted wedge

JC Kalita, P Kumar - Physics of Fluids, 2023 - pubs.aip.org
This study is concerned with the simulation of a complex fluid flow problem involving flow
past a wedge mounted on a wall for channel Reynolds numbers Re c= 1560, 6621, and …

A high-order upwind compact difference scheme for solving the streamfunction-velocity formulation of the unsteady incompressible Navier–Stokes equations

P Yu, B Wang, H Ouyang - Physics of Fluids, 2024 - pubs.aip.org
In this paper, we propose an upwind compact difference method with fourth-order spatial
accuracy and second-order temporal accuracy for solving the streamfunction-velocity …

A high‐order pure streamfunction method in general curvilinear coordinates for unsteady incompressible viscous flow with complex geometry

B Wang, P Yu, X Tong, H Ouyang - International Journal for …, 2024 - Wiley Online Library
In this paper, a high‐order compact finite difference method in general curvilinear
coordinates is proposed for solving unsteady incompressible Navier‐Stokes equations. By …

A new transient optimally higher-order compact scheme for computation of flow and heat transfer in nonuniform polar grids

D Deka, S Sen - Physics of Fluids, 2025 - pubs.aip.org
In this work, a higher-order compact discretization is developed on the nonuniform polar
grid. The discretization carries theoretically optimal third-order convergence in space and …

A comprehensive study of secondary and tertiary vortex phenomena of flow past a circular cylinder: A Cartesian grid approach

P Kumar, JC Kalita - Physics of Fluids, 2021 - pubs.aip.org
This study envisages undertaking a comprehensive simulation of the flow past an
impulsively started circular cylinder with special emphasis on vortex dynamics in the …