[HTML][HTML] The boundary elements method for magneto-hydrodynamic (MHD) channel flows at high Hartmann numbers

H Hosseinzadeh, M Dehghan, D Mirzaei - Applied Mathematical Modelling, 2013 - Elsevier
In this article the constant and the continuous linear boundary elements methods (BEMs) are
given to obtain the numerical solution of the coupled equations in velocity and induced …

Element-free Galerkin analysis of MHD duct flow problems at arbitrary and high Hartmann numbers

X Li, S Li - Engineering with Computers, 2024 - Springer
A stabilized element-free Galerkin (EFG) method is proposed in this paper for numerical
analysis of the generalized steady MHD duct flow problems at arbitrary and high Hartmann …

The tailored finite point method

H Han, Z Huang - Computational Methods in Applied Mathematics, 2014 - degruyter.com
In this paper, a brief review of tailored finite point methods (TFPM) is given. The TFPM is a
new approach to construct the numerical solutions of partial differential equations. The …

Approximate Analytical Solutions for Strongly Coupled Systems of Singularly Perturbed Convection–Diffusion Problems

ER El-Zahar, GF Al-Boqami, HS Al-Juaydi - Mathematics, 2024 - mdpi.com
This work presents a reliable algorithm to obtain approximate analytical solutions for a
strongly coupled system of singularly perturbed convection–diffusion problems, which …

The meshless finite point method for transient elastodynamic problems

A Shojaei, F Mossaiby, M Zaccariotto, U Galvanetto - Acta Mechanica, 2017 - Springer
In this paper, the application of the meshless finite point method (FPM) to solve
elastodynamic problems through an explicit velocity–Verlet time integration method is …

An adaptive finite point scheme for the two-dimensional coupled burgers' equation

A Sreelakshmi, VP Shyaman, A Awasthi - Numerical Algorithms, 2024 - Springer
The dawn of this new era is marked by a profound shift in how challenging destinations are
approached, as it is now centered around the art of unlocking simpler routes to explore …

Streamlined numerical solutions of burgers' equations bridging the tailored finite point method and the Cole Hopf transformation

VP Shyaman, A Sreelakshmi… - International Journal of …, 2024 - Taylor & Francis
This paper explores the possibility of solving the one-dimensional Burgers' equation with a
tailored finite point method (TFPM) based on an explicit stencil along with utilizing the Cole …

An implicit tailored finite point method for the burgers' equation: leveraging the Cole-Hopf transformation

VP Shyaman, A Sreelakshmi, A Awasthi - Physica Scripta, 2024 - iopscience.iop.org
Any expedition in designing numerical methods besides aiming at accuracy, also equally
steers for simplicity and ease in implementation. This paper brings in one such algorithm the …

An adaptive tailored finite point method for the generalized Burgers' equations

VP Shyaman, A Sreelakshmi, A Awasthi - Journal of Computational Science, 2022 - Elsevier
A tailored finite point method, using a minimal machinery algorithm yet utilizing the initial
conditions and local properties of the solution to the hilt, is proposed to serve as a global …

A computational study for simulating MHD duct flows at high Hartmann numbers using a stabilized finite element formulation with shock-capturing

S Cengizci, Ö Uğur - Journal of Computational Science, 2024 - Elsevier
The concern of this manuscript is stabilized finite element simulations of two-dimensional
incompressible and viscous magnetohydrodynamic (MHD) duct flows governed by a …