DISCONTINUOUS GALERKIN SOLUTION OF THE REYNOLDS-AVERAGED NAVIER–STOKES AND KL-KT-LOG(W) TRANSITION MODEL EQUATIONS

Author(s):  
A. Bassi ◽  
Alessandro Colombo ◽  
Antonio Ghidoni ◽  
Marco Lorini ◽  
Gianmaria Noventa
AIAA Journal ◽  
2021 ◽  
pp. 1-14
Author(s):  
Gustavo Luiz Olichevis Halila ◽  
Anil Yildirim ◽  
Charles A. Mader ◽  
Krzysztof J. Fidkowski ◽  
Joaquim R. R. A. Martins

Author(s):  
Daniel Routson ◽  
James Ferguson ◽  
John Crepeau ◽  
Donald McEligot ◽  
Ralph Budwig

In Reynolds-Averaged Navier Stokes (RANS) models simplifying assumptions breakdown in near wall regions. Wall functions/treatments become inaccurate and the homogeneity and isotropy models may not hold. To see the effect that these assumptions have on the validity of boundary layer results in a commercially available RANS code, key boundary layer parameters are compared from laminar, transitional, and fully turbulent RANS results to an existing direct numerical simulation (DNS) simulation for flow over a flat plate with an adverse pressure gradient (APG). Parameters compared include velocity profiles in the free stream, boundary layer thicknesses, skin friction coefficient and the pressure gradient parameter. Results show comparable momentum thickness and pressure gradient parameters between the transition RANS model and the DNS simulation. Differences in the onset of transition between the RANS transition model and DNS are compared as well. These simulations help evaluate the models used in the RANS code. Of most interest is the transition model, a transition shear-stress transport (SST) k–omega model. The RANS code is being used in conjunction with an APG boundary layer experiment being undertaken at the Idaho National Laboratory (INL).


2009 ◽  
Vol 23 (03) ◽  
pp. 309-312
Author(s):  
HONGQIANG LU

In this paper, the BR2 high-order Discontinuous Galerkin (DG) method is used to discretize the 2D Navier-Stokes (N-S) equations. The nonlinear discrete system is solved using a Newton method. Both preconditioned GMRES methods and block Gauss-Seidel method can be used to solve the resulting sparse linear system at each nonlinear step in low-order cases. In order to save memory and accelerate the convergence in high-order cases, a linear p-multigrid is developed based on the Taylor basis instead of the GMRES method and the block Gauss-Seidel method. Numerical results indicate that highly accurate solutions can be obtained on very coarse grids when using high order schemes and the linear p-multigrid works well when the implicit backward Euler method is employed to improve the robustness.


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