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Solution to the Compressible Navier-Stokes Equations of Motion by Chebyshev Polynomials with Implicit Time Stepping

机译：用隐式时间步进的Chebyshev多项式求解可压缩Navier-stokes运动方程

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摘要

Implicit time stepping has been incorporated into the author's pseudospectral compressible Navier-Stokes code. This report presents results for three classes of laminar flows. A normal shock wave laminar boundary layer interaction on a flat plate, an oblique shock wave laminar boundary layer interaction on a flat plate and the flow over a circular arc airfoil at two mach numbers. Keywords: Airfoils; Inviscid time dependent compressible flow; Euler equations of motion.

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作者
Sakell, L.;
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年度 1988
页码 p.1-98
总页数 98
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Chebyshev polynomials; Compressible flow; Navier stokes equations; Laminar boundary layer; Airfoils; Differential equations; Equations of motion; Flat plate models; Laminar flow; Mach number; Time series analysis; Shock waves;

机译：Chebyshev多项式;可压缩流; Navier stokes方程;层流边界层;翼型;微分方程;运动方程;平板模型;层流;马赫数;时间序列分析;冲击波;

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1. A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers [J] . Tavelli Maurizio, Dumbser Michael Journal of Computational Physics . 2017,第期

机译：基于压力的半隐式空间空间不连续的Galerkin方法，用于在所有Mach数字处的可压缩Navier-Stokes方程的解决方案
2. A third-order implicit discontinuous Galerkin method based on a Hermite WENO reconstruction for time-accurate solution of the compressible Navier-Stokes equations [J] . Xia Yidong, Liu Xiaodong, Luo Hong, International Journal for Numerical Methods in Fluids . 2015,第8期

机译：基于Hermite WENO重构的三阶隐式不连续Galerkin方法用于可压缩Navier-Stokes方程的时间精确解
3. Jacobian-free Newton-Krylov method for implicit time-spectral solution of the compressible Navier-Stokes equations [J] . Attar Peter J. International Journal for Numerical Methods in Fluids . 2015,第1期

机译：可压缩的Navier-Stokes方程的隐式时间谱解的无雅可比牛顿-克雷洛夫方法
4. An Investigation of the Time-Step for a Line-Implicit Time-Stepping Scheme for the k-ω and Reynolds-Averaged Incompressible Navier-Stokes Equations [C] . Lars Carlsson Numerical Towing Tank Symposium . 2000

机译：K-Ω和雷诺平均不可压缩Navier-Stokes方程的线隐式时间步进方案时间步骤的研究
5. Self-similar solutions and large time behavior of solutions to the compressible Navier-Stokes equations. [D] . Guo, Zhenhua. 2003

机译：可压缩的Navier-Stokes方程的自相似解和解的长时间行为。
6. On the Uniform Convergence of the Solutions of the Navier-Stokes Equations [O] . T. Y. Thomas 1943

机译：Navier-Stokes方程解的一致收敛性
7. A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers [O] . Tavelli, Maurizio, Dumbser, Michael 2016

机译：基于压力的半隐式时空不连续Galerkin方法在交错的非结构网格上解决可压缩的问题所有马赫数的Navier-stokes方程
8. Solution to the Compressible Navier-Stokes Equations of Motion by Chebyshev Polynomials with Implicit Time Stepping [R] . Sakell, L. 1988

机译：用隐式时间步进的Chebyshev多项式求解可压缩Navier-stokes运动方程

Solution to the Compressible Navier-Stokes Equations of Motion by Chebyshev Polynomials with Implicit Time Stepping

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