An implicit time-marching method for solving the 3-D compressible Navier-Stokes equations

2008 ◽  
pp. 210-214 ◽  
Author(s):  
Hisaaki Daiguji ◽  
Satoru Yamamoto
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Implicit Time ◽  
Navier Stokes Equations ◽  
Time Marching ◽  
Marching Method

scholarly journals Navier-Stokes Analysis of Unsteady Transonic Flows Through Gas Turbine Cascades With and Without Coolant Ejection

1997 ◽  
Author(s):  
T. Tanuma ◽  
N. Shibukawa ◽  
S. Yamamoto
Keyword(s):  
Gas Turbine ◽  
Stokes Equations ◽  
Viscous Flows ◽  
Navier Stokes ◽  
Implicit Time ◽  
Trailing Edge ◽  
Navier Stokes Equations ◽  
Time Marching ◽  
Turbine Cascades ◽  
Annular Cascade

An implicit time-marching higher-order accurate finite-difference method for solving the two-dimensional compressible Navier-Stokes equations was applied to the numerical analyses of steady and unsteady, subsonic and transonic viscous flows through gas turbine cascades with trailing edge coolant ejection. Annular cascade tests were carried out to verify the accuracy of the present analysis. The unsteady aerodynamic mechanisms associated with the interaction between the trailing edge vortices and shock waves and the effect of coolant ejection were evaluated with the present analysis.

scholarly journals A Time Marching Method for Calculating S2 Stream Surface Viscous Flow in a Single Rotor Compressor

1987 ◽  
Author(s):  
Chen Nai-Xing ◽  
Dai Li-Hong
Keyword(s):  
Viscous Flow ◽  
Stokes Equations ◽  
Engineering Thermophysics ◽  
Navier Stokes ◽  
Meridional Plane ◽  
Governing Equations ◽  
Navier Stokes Equations ◽  
Stream Surface ◽  
Time Marching ◽  
Marching Method

In this paper, a time marching method using a hopscotch algorithm and a stream-surface-fitted co-ordinate system for calculating steady viscous flow on the S2 stream surface is presented. It is convenient to express the Navier-Stokes equations by the non-orthogonal curvilinear co-ordinate system directly on the S2 stream surface because the blade force term which exists in the governing equations written on the meridional plane, disappears. Numerical results for the CAS single rotor research compressor of Institute of Engineering Thermophysics are compared with invisid calculation and experiment. It is shown that the computational results are agreed with experiment well.

scholarly journals Fluid-kinetic modelling for respiratory aerosols with variable size and temperature

2020 ◽  
Vol 67 ◽  
pp. 100-119 ◽  
Author(s):  
Laurent Boudin ◽  
Céline Grandmont ◽  
Bérénice Grec ◽  
Sébastien Martin ◽  
Amina Mecherbet ◽  
...  
Keyword(s):  
Stokes Equations ◽  
Kinetic Modelling ◽  
Type Equation ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Aerosol Dynamics ◽  
Convection Diffusion Equation ◽  
Time Marching ◽  
Branched Structure ◽  
The Impact

In this paper, we propose a coupled fluid-kinetic model taking into account the radius growth of aerosol particles due to humidity in the respiratory system. We aim to numerically investigate the impact of hygroscopic effects on the particle behaviour. The air flow is described by the incompressible Navier-Stokes equations, and the aerosol by a Vlasov-type equation involving the air humidity and temperature, both quantities satisfying a convection-diffusion equation with a source term. Conservations properties are checked and an explicit time-marching scheme is proposed. Twodimensional numerical simulations in a branched structure show the influence of the particle size variations on the aerosol dynamics.

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