An Efficient Time-marching Scheme for Solving Compressible Euler Equations
スポンサーリンク
概要
- 論文の詳細を見る
An implicit time-marching finite-difference scheme is proposed for analysing steady two-dimensional inviscid transonic flows. The scheme is based on the well-known Beam-Warming delta-form approximate factorization scheme, but this is improved in the following two points : (i) In order to treat the fixed wall boundary condition without difficulty, momentum equations of contravariant velocity components as fundamental equations in curvilinear coordinates are used. (ii) To calculate stably with a sufficiently large Courant number, the central-difference of the Crank-Nicholson method is replaced by the upstream-difference of the Robert-Weiss method. The upstreaming is replaced by the upstream-difference of the Robert-Weiss method. The upstreaming is performed on the basis of the theory of characteristics and does not influence the accuracy of the solution. The flows through a converging-diverging nozzle and a symmetric wing are calculated. The calculated results agree well with the existing theories.
- 一般社団法人日本機械学会の論文
著者
-
Daiguji Hisaaki
Department of Aeronautics and Space Engineering, Tohoku University
-
Yamamoto Satoru
Division Of Engineering Tohoku University
-
Daiguji Hisaaki
Department Of Aeronautics And Engineering Tohoku University
関連論文
- Preventive effects of ME3738 on hepatic fibrosis induced by bile duct ligation in rats
- Effects of Endothelin-1 and Angiotensin-II on Extracellular Matrix Metabolism in a Rat Mesangial Cell Line, CRL-2573
- A Finite-Difference Scheme for Two-Dimensional Incompressible Turbulent Flows Using Curvilinear Coordinates
- An Unsteady Implicit SMAC Scheme for Two-Dimensional Incompressible Navier-Stokes Equations
- Convective-Difference Scheme Using a General Curvilinear Coordinate Grid for Incompressible Viscous Flow Problems
- An Efficient Time-marching Scheme for Solving Compressible Euler Equations
- Computation of Unsteady Transonic Cascade Flow Using the Euler and Navier-Stokes Equations of Contravariant Velocities
- Numerical Analysis of 3-D Potential Flow in Centrifugal Turbomachines
- An Implicit Time-marching Scheme for Transonic Flow