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Iterative Spectral Methods and Spectral Solutions to Compressible Flows

机译：可压缩流动的迭代谱方法和谱解

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摘要

A spectral multigrid scheme is described which can solve pseudospectral discretizations of self-adjoint elliptic problems in O(N log N) operations. An iterative technique for efficiently implementing semi-implicit time-stepping for pseudospectral discretizations of Navier-Stokes equations is discussed. This approach can handle variable coefficient terms in an effective manner. Pseudospectral solutions of compressible flow problems are presented. These include one dimensional problems and two dimensional Euler solutions. Results are given both for shock-capturing approaches and for shock-fitting ones.

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Hussaini, M. Y.; Zang, T. A.;
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年度 1982
页码 p.1-32
总页数 32
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Compressible flow; Computational fluid dynamics; Computational grids; Elliptic differential equations; Flow equations; Iteration; Iterative solution; Navier-stokes equation; Spectrum analysis; Convergence; Euler equations of motion; Shock waves; Time marchi;

机译：可压缩流动;计算流体动力学;计算网格;椭圆微分方程;流动方程;迭代;迭代解; Navier-stokes方程;频谱分析;收敛;欧拉运动方程;冲击波;时间流域;

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1. A spectral difference lattice Boltzmann method for solution of inviscid compressible flows on structured grids [J] . Hejranfar Kazem, Ghaffarian Ali Computers & mathematics with applications . 2016,第5期

机译：谱差格子玻尔兹曼方法求解结构网格上无粘性可压缩流
2. Iterative substructuring methods for spectral element discretizations of elliptic systems - I: Compressible linear elasticity [J] . Pavarino LF., Widlund OB. SIAM Journal on Numerical Analysis . 2000,第2期

机译：椭圆系统的频谱元素离散化的迭代子构造方法-I：可压缩线性弹性
3. Error analysis and iterative methods in pseudospectral semi-implicit simulations: an application to compressible convection [J] . F. Rubini, V. Taverne, L. Valdettaro International Journal for Numerical Methods in Fluids . 1997,第8期

机译：伪谱半隐式仿真中的误差分析和迭代方法：在可压缩对流中的应用
4. Implicit Spectral Difference Method Solutions of Compressible Flows Considering High-Order Meshes [C] . Fabio Mallaco Moreira, Eduardo Jourdan, Carlos Breviglieri, AIAA aviation forum;AIAA fluid dynamics conference . 2016

机译：考虑高阶网格的可压缩流隐式谱差分法解
5. Direct and large-eddy simulation of compressible flows with spectral/hp element methods. [D] . Sengupta, Kaustav. 2009

机译：使用谱/ hp元素方法直接和大涡模拟可压缩流。
6. Fast iterative image reconstruction methods for fully 3D multispectral bioluminescence tomography [O] . Sangtae Ahn, Abhijit J Chaudhari, Felix Darvas, -1

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7. Iterative Substructuring Methods for Spectral Element Discretizations of Elliptic Systems. I: Compressible Linear Elasticity [O] . Luca F. Pavarino, Olof, Olof B. Widlund 1997

机译：椭圆系统谱元离散的迭代子结构方法。 I：可压缩线性弹性

Iterative Spectral Methods and Spectral Solutions to Compressible Flows

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