[HTML][HTML] The boundary elements method for magneto-hydrodynamic (MHD) channel flows at high Hartmann numbers
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 …
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 …
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 …
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 …
strongly coupled system of singularly perturbed convection–diffusion problems, which …
The meshless finite point method for transient elastodynamic problems
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 …
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 …
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 …
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 …
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 …
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 …
incompressible and viscous magnetohydrodynamic (MHD) duct flows governed by a …