Article
Preconditioning of the Euler and NavierStokes equations in lowvelocity flow simulation on unstructured grids
Computational Mathematics and Mathematical Physics
(Impact Factor: 0.59).
10/2009;
49(10):17891804.
DOI: 10.1134/S0965542509100133

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ABSTRACT: The features of a simplified approach to coupled thermal analysis problems as based on the integration of the energy equation for a viscous compressible gas are discussed. The gas velocity field is assumed to be frozen, and a single iteration is run to update it at each step of the coupling procedure. The equation describing the temperature distribution in a solid is discretized using the finite element method, while the NavierStokes equations describing the velocity and gas temperature distributions are discretized using the finitevolume method. The system of difference equations resulting from the finitevolume discretization is solved by applying a multigrid method and the generalized minimal residual method. The capabilities of the approaches developed are demonstrated by solving several model problems. The accelerations of the computational algorithm obtained with the use of the full and simplified approaches to the solution of the problem and various methods for solving the system of difference equations are compared.Computational Mathematics and Mathematical Physics 04/2013; 53(4). DOI:10.1134/S0965542513040106 · 0.59 Impact Factor 
Article: Formulation of wall boundary conditions in turbulent flow computations on unstructured meshes
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ABSTRACT: Features of the formulation and numerical implementation of wall boundary conditions in turbulent flow computations on unstructured meshes are discussed. A method is proposed for implementing weak wall boundary conditions for a finitevolume discretization of the Reynoldsaveraged NavierStokes equations on unstructured meshes. The capabilities of the approach are demonstrated in several gasdynamic simulations in comparison with the method of nearwall functions. The influence of the nearwall resolution on the accuracy of the computations is analyzed, and the grid dependence of the solution is compared in the case of the nearwall function method and weak boundary conditions.Computational Mathematics and Mathematical Physics 02/2014; 54(2). DOI:10.1134/S0965542514020134 · 0.59 Impact Factor 
Journal of Engineering Physics and Thermophysics 07/2014; 87(4):929935. DOI:10.1007/s1089101410905
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