Kinetic Flux–Vector Splitting for the Navier–Stokes Equations

1997 ◽  
Vol 130 (2) ◽  
pp. 217-230 ◽  
Author(s):  
S.Y. Chou ◽  
D. Baganoff
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Flux Vector ◽  
Navier Stokes Equations ◽  
Flux Vector Splitting

Segmented Domain Decomposition Multigrid Solutions for Two and Three-Dimensional Viscous Flows

1993 ◽  
Vol 115 (4) ◽  
pp. 608-613
Author(s):  
Kumar Srinivasan ◽  
Stanley G. Rubin
Keyword(s):  
Domain Decomposition ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Axial Flow ◽  
Mass Conservation ◽  
Staggered Grid ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Flow Recirculation ◽  
Flux Vector Splitting

Several viscous incompressible two and three-dimensional flows with strong inviscid interaction and/or axial flow reversal are considered with a segmented domain decomposition multigrid (SDDMG) procedure. Specific examples include the laminar flow recirculation in a trough geometry and in a three-dimensional step channel. For the latter case, there are multiple and three-dimensional recirculation zones. A pressure-based form of flux-vector splitting is applied to the Navier-Stokes equations, which are represented by an implicit, lowest-order reduced Navier-Stokes (RNS) system and a purely diffusive, higher-order, deferred-corrector. A trapezoidal or box-like form of discretization insures that all mass conservation properties are satisfied at interfacial and outflow boundaries, even for this primitive-variable non-staggered grid formulation. The segmented domain strategy is adapted herein for three-dimensional flows and is extended to allow for disjoint subdomains that do not share a common boundary.

Simulations of Shock/Boundary-Layer Interactions Over Highly Loaded Turbine Blades

2003 ◽  
Author(s):  
Yi Liu
Keyword(s):  
Boundary Layer ◽  
Stokes Equations ◽  
Computing Time ◽  
Turbine Blades ◽  
Navier Stokes ◽  
Flux Vector ◽  
Compressibility Effect ◽  
Turbine Vanes ◽  
Flux Vector Splitting ◽  
Highly Loaded

Transonic viscous flow over highly loaded turbine blades, where the interaction of a shock wave and a boundary layer often leads to extremely complicated flow phenomena, has been studied numerically in this paper. A Modified Implicit Flux Vector Splitting solver of the Navier-Stokes equations, which has been well established though combining a unique implicit formulation with a Flux Vector Splitting, has been extended to simulate a transonic cascade flow. A low Reynolds number k-ε turbulence model, with the compressibility effect considered, and a transition model have been implemented to predict heat transfer, flow patterns in the high loaded transonic turbine vanes and turbine vanes and blades. Numerical investigations show it has obvious superiority in terms of accuracy, robustness, convergence and computing time.

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