Results 241 to 250 of about 354,492 (314)

Curvilinear coordinates

Mathematics for Physicists, 2018
Abstract This chapter presents a discussion on curvilinear coordinates in line with the introduction on Cartesian coordinates in Chapter 1. First, the chapter introduces a new system C of curvilinear coordinates xⁱ = xⁱ(Xj) (also sometimes referred to as Gaussian coordinates), which are nonlinearly related to Cartesian coordinates.
Nathalie Deruelle, Jean-Philippe Uzan
openaire   +2 more sources

A spur to molecular geometry optimization: Gradient-enhanced universal kriging with on-the-fly adaptive ab initio prior mean functions in curvilinear coordinates.

Journal of Chemical Physics, 2022
We present a molecular geometry optimization algorithm based on the gradient-enhanced universal kriging (GEUK) formalism with ab initio prior mean functions, which incorporates prior physical knowledge to surrogate-based optimization.
Chong Teng   +2 more
semanticscholar   +1 more source

Formulation of 3D finite elements using curvilinear coordinates

Mechanics of Advanced Materials and Structures, 2020
The objective of this paper is to gain insight into the implementation of 3D finite elements in curvilinear coordinates using the fundamental equations of 3D elasticity and the Principle of Virtual Displacements. After reviewing the mathematical model of
M. Cinefra
semanticscholar   +1 more source

A high‐order compact scheme for solving the 2D steady incompressible Navier‐Stokes equations in general curvilinear coordinates

International Journal for Numerical Methods in Fluids, 2020
In this paper, a high‐order compact finite difference algorithm is established for the stream function‐velocity formulation of the two‐dimensional steady incompressible Navier‐Stokes equations in general curvilinear coordinates.
Jinqiang Chen, P. Yu, Z. Tian, H. Ouyang
semanticscholar   +1 more source

Long-Time Instability of Pseudospectral Time-Domain Method in Curvilinear Coordinates

IEEE Transactions on Antennas and Propagation, 2020
We found that the pseudospectral time-domain (PSTD) formulation discussed in the literature exhibits long-time instability when applied to problems with curvilinear geometry.
M. Yeung, E. Barouch
semanticscholar   +1 more source

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