Hydrothermal study of nanofluid flow in channel by RBF method with exponential boundary conditions
Our study investigates the motion, temperature and volume fraction of a nanofluid that flows
at a vertical channel exposed to natural and forced (mixed) convection heat transfer. The …
at a vertical channel exposed to natural and forced (mixed) convection heat transfer. The …
Accelerated training of physics-informed neural networks (pinns) using meshless discretizations
Physics-informed neural networks (PINNs) are neural networks trained by using physical
laws in the form of partial differential equations (PDEs) as soft constraints. We present a new …
laws in the form of partial differential equations (PDEs) as soft constraints. We present a new …
A general-purpose, inelastic, rotation-free Kirchhoff–Love shell formulation for peridynamics
We present a comprehensive rotation-free Kirchhoff–Love (KL) shell formulation for
peridynamics (PD) that is capable of modeling large elasto-plastic deformations and fracture …
peridynamics (PD) that is capable of modeling large elasto-plastic deformations and fracture …
Dynamics analysis and vibration suppression of a spatial rigid-flexible link manipulator based on transfer matrix method of multibody system
M Shi, B Rong, J Liang, W Zhao, H Pan - Nonlinear Dynamics, 2023 - Springer
The vibration suppression directly affects the dynamic performance and working accuracy of
flexible manipulators, which is one of the important issues in the robotics field. However …
flexible manipulators, which is one of the important issues in the robotics field. However …
The direct radial basis function partition of unity (D-RBF-PU) method for solving PDEs
D Mirzaei - SIAM Journal on Scientific Computing, 2021 - SIAM
In this paper, a new localized radial basis function (RBF) method based on partition of unity
(PU) is proposed for solving boundary and initial-boundary value problems. The new …
(PU) is proposed for solving boundary and initial-boundary value problems. The new …
Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection–diffusion equations
V Shankar, AL Fogelson - Journal of computational physics, 2018 - Elsevier
We present a novel hyperviscosity formulation for stabilizing RBF-FD discretizations of the
advection–diffusion equation. The amount of hyperviscosity is determined quasi-analytically …
advection–diffusion equation. The amount of hyperviscosity is determined quasi-analytically …
Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: A Generalized Moving Least-Squares (GMLS) approach
We utilize generalized moving least squares (GMLS) to develop meshfree techniques for
discretizing hydrodynamic flow problems on manifolds. We use exterior calculus to formulate …
discretizing hydrodynamic flow problems on manifolds. We use exterior calculus to formulate …
Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives
Approximating differential operators defined on two-dimensional surfaces is an important
problem that arises in many areas of science and engineering. Over the past ten years …
problem that arises in many areas of science and engineering. Over the past ten years …
A compact radial basis function partition of unity method
S Arefian, D Mirzaei - Computers & Mathematics with Applications, 2022 - Elsevier
In this work we develop the standard Hermite interpolation based RBF-generated finite
difference (RBF-HFD) method into a new faster and more accurate technique based on …
difference (RBF-HFD) method into a new faster and more accurate technique based on …
Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization
The aim of this work consists of finding a suitable numerical method for the solution of the
mathematical model describing the prostate tumor growth, formulated as a system of time …
mathematical model describing the prostate tumor growth, formulated as a system of time …