A multi-dimensional time-marching method of characteristics for viscous and heat-conducting flows

2000 ◽  
Vol 70 (1-3) ◽  
pp. 65-80
Author(s):  
J. Ballmann ◽  
H. Sanaknaki
Keyword(s):  
Method Of Characteristics ◽  
Heat Conducting ◽  
Time Marching ◽  
Marching Method

Calculation of the Quasi Three-Dimensional Flow in a Turbomachine Blade Row

1977 ◽  
Vol 99 (1) ◽  
pp. 53-62 ◽  
Author(s):  
Jean-Pierre Veuillot
Keyword(s):  
Finite Difference ◽  
Three Dimensional ◽  
Three Dimensional Flow ◽  
Through Flow ◽  
Blade Row ◽  
Time Marching ◽  
Space Discretization ◽  
Finite Volume Approach ◽  
Marching Method ◽  
Finite Difference Techniques

The equations of the through flow are obtained by an asymptotic theory valid when the blade pitch is small. An iterative method determines the meridian stream function, the circulation, and the density. The various equations are discretized in an orthogonal mesh and solved by classical finite difference techniques. The calculation of the steady transonic blade-to-blade flow is achieved by a time marching method using the MacCormack scheme. The space discretization is obtained either by a finite difference approach or by a finite volume approach. Numerical applications are presented.

On the Use of Direct and Inverse Numerical Flow Calculations for Supersonic Turbine Design

1994 ◽  
Author(s):  
F. Pommel
Keyword(s):  
Flow Field ◽  
Euler Equations ◽  
Velocity Component ◽  
Normal Velocity ◽  
Blade Design ◽  
Blade Profile ◽  
Flow Solver ◽  
Time Marching ◽  
Turbine Design ◽  
Marching Method

A procedure for blade design, using a time marching method to solve the Euler equations in the blade-to-blade plane is presented. This procedure uses an Office Nationale d’Etude et de Recherches Aeronautique flow solver. The classical slip conditions (no normal velocity component along the blade profile) has been replaced by another boundary conditions in such a way that the required pressure may be imposed directly. The orignal direct code was therefore transformed into an inverse solver. The unknows are calculated on the blade wall using the so-called compatibility relations. The blade geometry is then modified by resetting the wall parallel to the new flow field. The results obtained with this design process for a supersonic turbine blade of a space turbopump is presented.

A Time Marching Method for Internal Flows Using Curvilinear Coordinates

1986 ◽  
Vol 10 (1) ◽  
pp. 8-15
Author(s):  
M. Reggio ◽  
R. Camarero
Keyword(s):  
Gas Dynamics ◽  
Curvilinear Coordinates ◽  
System Stability ◽  
Internal Flows ◽  
Axisymmetric Nozzle ◽  
Equations Of Gas Dynamics ◽  
Curvilinear Grid ◽  
Momentum Fluxes ◽  
Time Marching ◽  
Marching Method

A time-marching method for flows with nozzle and blade-to-blade applications is presented. The approach developed consists of solving the basic conservation equations of gas dynamics in conservation form on a curvilinear grid. The assumption of quasi-streamlines is satisfied by generating a body-fitted coordinate system. Stability is maintained by upwind differencing of the mass and momentum fluxes and downwind differencing of the pressure. The method is then applied to the solution of a plane and axisymmetric nozzle and to VKI’s gas turbine blade and compared to previous computations and experiments.

An examination of the Throughflow of Nucleating Steam in a Turbine Stage by a Time-Marching Method

1989 ◽  
Vol 203 (4) ◽  
pp. 233-243 ◽  
Author(s):  
F Bakhtar ◽  
B O Bamkole
Keyword(s):  
Computer Program ◽  
Thermodynamic Equilibrium ◽  
Theoretical Treatment ◽  
Test Cases ◽  
Turbine Stage ◽  
Conservation Equations ◽  
Time Marching ◽  
Marching Method ◽  
Non Equilibrium

The paper describes a theoretical treatment for nucleating throughflow of steam in a turbine stage. The conservation equations governing the overall behaviour of the fluid are combined with those describing droplet behaviour and treated by a time-marching method. The computer program developed has been applied to some test cases and comparisons are presented between solutions allowing for non-equilibrium effects and those in which steam has been assumed to remain in thermodynamic equilibrium.

An Inverse Time Marching Method for the Definition of Cascade Geometry

1982 ◽  
Vol 104 (3) ◽  
pp. 650-656 ◽  
Author(s):  
G. Meauze´
Keyword(s):  
Velocity Distribution ◽  
Cross Section ◽  
Iterative Process ◽  
Suction Side ◽  
Wide Field ◽  
Closure Condition ◽  
Evolution Law ◽  
Time Marching ◽  
Definition Of ◽  
Marching Method

The article describes a so-called “inverse mode” calculation method, providing the geometry of a cascade corresponding to a given velocity distribution, and gives some examples of application. The velocity distribution may be assigned over the whole of the suction and pressure sides or over only a part of them, the remaining parts being already known. The closure condition of the profile is ensured by an iterative process on the solidity of the cascade. A second version allows the definition of the geometry of a profile with a given thickness evolution law and as assigned velocity distribution on the suction side. The method makes use of a pseudo-unsteady calculation, enabling one to treat the case of flows with shock waves in a two-dimensional stream with possible variations of cross section. This flexibility of use confers to the method a wide field of application, covering all possible configurations of flow in turbine and compressor cascades.

Analysis of Cavitation Instabilities in Inducer by Time Marching Method

2004 ◽  
Vol 2004 (0) ◽  
pp. 35
Author(s):  
Shinichi MIZUNO ◽  
Akira FUJII ◽  
Hironori HORIGUCHI ◽  
Yoshinobu TSUJIMOTO
Keyword(s):  
Time Marching ◽  
Marching Method
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