Time-Dependent Solutions to the 2D Kuramoto-Sivashinsky Equation via Pseudospectral Method on a Rectangular Domain

Autor:	Žigić, Jovan
Rok vydání:	2023
Předmět:	Mathematics - Numerical Analysis 65
Druh dokumentu:	Working Paper
Popis:	This report provides an investigation into solving the Kuramoto-Sivashinsky equation in two spatial dimensions (2DKS) using a pseudo-spectral method on various rectangular periodic domains. The Kuramoto-Sivashinsky equation is a fluid dynamics model that exhibits dynamical features that are highly dependent on the length of the periodic domain. The goals of this report are to describe the mathematical problem; explain the details of the chosen numerical method; inspect solutions and dynamical features for varying grid sizes, step sizes, and domains; and summarize the findings. Comment: 28 pages, 4 tables, 56 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.15559 Zobrazit plný text záznamu View this record from Arxiv