Topic
Finite difference method
About: Finite difference method is a research topic. Over the lifetime, 21603 publications have been published within this topic receiving 468852 citations. The topic is also known as: Finite-difference methods & FDM.
Papers published on a yearly basis
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Papers
TL;DR: In this paper, the Navier-Stokes equations for the steady motion of an incompressible fluid in 3D space were solved using a finite-difference scheme with second-order accuracy in which the associated matrices are diagonally dominant.
101 citations
1 May 1982
TL;DR: Several optimization procedures were incorporated into COSAL to calculate integrated growth rates (N factor) for transition correlation for swept and tapered laminar flow control wings using the well known e to the Nth power method.
Abstract: A fast computer code COSAL for transition prediction in three dimensional boundary layers using compressible stability analysis is described. The compressible stability eigenvalue problem is solved using a finite difference method, and the code is a black box in the sense that no guess of the eigenvalue is required from the user. Several optimization procedures were incorporated into COSAL to calculate integrated growth rates (N factor) for transition correlation for swept and tapered laminar flow control wings using the well known e to the Nth power method. A user's guide to the program is provided.
100 citations
TL;DR: In this paper, a nonlinear stability criterion for anisotropic continuum traffic flow model is derived by using a wavefront expansion technique, and the stability criterion is illustrated by numerical results using the finite difference method for two different values of the dimensionless parameter.
Abstract: This paper presents our study of the nonlinear stability of a new anisotropic continuum traffic flow model in which the dimensionless parameter or anisotropic factor controls the non-isotropic character and diffusive influence. In order to establish traffic flow stability criterion or to know the critical parameters that lead, on one hand, to a stable response to perturbations or disturbances or, on the other hand, to an unstable response and therefore to a possible congestion, a nonlinear stability criterion is derived by using a wavefront expansion technique. The stability criterion is illustrated by numerical results using the finite difference method for two different values of anisotropic parameter. It is also been observed that the newly derived stability results are consistent with previously reported results obtained using approximate linearisation methods. Moreover, the stability criterion derived in this paper can provide more refined information from the perspective of the capability to reproduce nonlinear traffic flow behaviors observed in real traffic than previously established methodologies.
100 citations
TL;DR: In this paper, a finite element simulation of temperature gradient driven rock alteration and mineralization in fluid saturated porous rock masses is presented, where the significance of production/annihilation terms in the mass balance equations and the dependence of the spatial patterns of rock alteration upon the ratio of the roll over time of large scale convection cells to the relaxation time of the chemical reactions are explored.
100 citations
TL;DR: In this article, a comparison is made between several different methods that have recently been proposed for efficiently modeling electrically thin material sheets in the finite-difference-time-domain (FDTD) method.
Abstract: A comparison is made between several different methods that have recently been proposed for efficiently modeling electrically thin material sheets in the finite-difference-time-domain (FDTD) method. The test problems used in the comparison are parallel-plate waveguides loaded with electrically thin dielectric (lossless) and conducting sheets for which exact solutions are available. The accuracy of the methods is illustrated by comparison with analytical results for model problems that have exact solutions. >
100 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 53 |
| 2024 | 136 |
| 2023 | 170 |
| 2022 | 357 |
| 2021 | 733 |
| 2020 | 690 |