scholarly journals Stability estimates for Navier-Stokes equations and application to inverse problems

2016 ◽  
Vol 21 (8) ◽  
pp. 2379-2407 ◽  
Author(s):  
Mehdi Badra ◽  
Fabien Caubet ◽  
Jérémi Dardé
Keyword(s):  
Inverse Problems ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Stability Estimates ◽  
Navier Stokes Equations

scholarly journals EULER EQUATIONS WITH SEVERAL INDEPENDENT PRESSURE LAWS AND ENTROPY SATISFYING EXPLICIT PROJECTION SCHEMES

2006 ◽  
Vol 16 (09) ◽  
pp. 1469-1504 ◽  
Author(s):  
CHRISTOPHE CHALONS ◽  
FRÉDÉRIC COQUEL
Keyword(s):  
Stokes Equations ◽  
Scale Effects ◽  
Numerical Procedure ◽  
Approximate Solutions ◽  
Navier Stokes ◽  
Small Scale ◽  
Stability Estimates ◽  
Jump Conditions ◽  
Riemann Solutions ◽  
Navier Stokes Equations

This work aims at numerically approximating the entropy weak solutions of Euler-like systems asymptotically recovered from the multi-pressure Navier–Stokes equations in the regime of an infinite Reynolds number. The nonconservation form of the limit PDE model makes the shock solutions to be sensitive with respect to the underlying small scales. Here we propose to model these small scale effects via a set of generalized jump conditions expressed in terms of the independent internal energies. The interest in considering internal energies stems from the presence of solely first-order nonconservative products by contrast to other variables. These nonconservative products are defined in the now classical sense proposed by Dal Maso, LeFloch and Murat. We show how to enforce the generalized jump conditions at the discrete level with a fairly simple numerical procedure. This method is proved to satisfy a full set of stability estimates and to produce approximate solutions in good agreement with exact Riemann solutions.

Effects of stator splitter blades on aerodynamic performance of a single-stage transonic axial compressor

2020 ◽  
Vol 14 (4) ◽  
pp. 7369-7378
Author(s):  
Ky-Quang Pham ◽  
Xuan-Truong Le ◽  
Cong-Truong Dinh
Keyword(s):  
Stokes Equations ◽  
Three Dimensional ◽  
Axial Compressor ◽  
Aerodynamic Performance ◽  
Numerical Results ◽  
Single Stage ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Operating Stability ◽  
Length Coverage

Splitter blades located between stator blades in a single-stage axial compressor were proposed and investigated in this work to find their effects on aerodynamic performance and operating stability. Aerodynamic performance of the compressor was evaluated using three-dimensional Reynolds-averaged Navier-Stokes equations using the k-e turbulence model with a scalable wall function. The numerical results for the typical performance parameters without stator splitter blades were validated in comparison with experimental data. The numerical results of a parametric study using four geometric parameters (chord length, coverage angle, height and position) of the stator splitter blades showed that the operational stability of the single-stage axial compressor enhances remarkably using the stator splitter blades. The splitters were effective in suppressing flow separation in the stator domain of the compressor at near-stall condition which affects considerably the aerodynamic performance of the compressor.

Sensitivity analysis for Navier-Stokes equations on unstructured meshes using complex variables

AIAA Journal ◽  
2001 ◽  
Vol 39 ◽  
pp. 56-63
Author(s):  
W. Kyle Anderson ◽  
James C. Newman ◽  
David L. Whitfield ◽  
Eric J. Nielsen
Keyword(s):  
Sensitivity Analysis ◽  
Stokes Equations ◽  
Unstructured Meshes ◽  
Complex Variables ◽  
Navier Stokes ◽  
Navier Stokes Equations
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