Time- and Frequency-Domain Numerical Simulation of Linearized Euler Equations

Autor:	David L. Whitfield, Kidambi Sreenivas
Rok vydání:	1998
Předmět:	Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Aerospace Engineering Geometry Euler equations symbols.namesake Nonlinear system Multigrid method Linearization Simultaneous equations Frequency domain Euler's formula symbols Time domain Mathematics
Zdroj:	AIAA Journal. 36:968-975
ISSN:	1533-385X 0001-1452
Popis:	Linearized Euler solvers based on a high-resolution numerical scheme are presented. The approach is to linearize the numerical-flux vector as opposed to carrying through the complete linearization analysis with the dependent-variable vector written as a sum of a mean flow and a small perturbation. This allows the linearized equations to be maintained in conservation-law form in the time domain. A harmonic assumption regarding the nature of the unsteady perturbations results in a set of time-independent equations in the frequency domain. The linearized equations are used to compute unsteady flows in cascades arising from blade vibrations. The time-domain equations are solved in a time-accurate manner and the frequency-domain equations are solved using a local time-stepping procedure. Numerical solutions are compared to theoretical results, to other linearized computations, and to numerical solutions of the nonlinear Euler equations. The frequency-domain computations were found to be at least an order of magnitude faster than the corresponding time-domain computations
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89c419ce45e4c558d754a512836ba905 https://doi.org/10.2514/2.466 Zobrazit plný text záznamu