A point implicit unstructured grid solver for the Euler and Navier-Stokes equations

Thareja, Rajiv R.; Stewart, James R.; Hassan, O.; Morgan, K.; Peraire, J.

doi:10.2514/6.1988-36

Cited by 34 publications

(7 citation statements)

References 6 publications

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“…For the Star-48 flow-fields calculation, the ratio of specific heats is 1.150, the Prandtl number is 0.57, and the power law viscosity-temperature relationship has an exponent A= 0.67 and reference chamber viscosity 1.382.10"8 lbf-sec/in. 2 at temperature 63640R.…”

Section: The Titan IV Srmumentioning

confidence: 99%

An efficient, intelligent solution for viscous flows inside solid rocket motors

Chang

1991

27th Joint Propulsion Conference

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Section: The Titan IV Srmumentioning

confidence: 99%

An efficient, intelligent solution for viscous flows inside solid rocket motors

Chang

1991

27th Joint Propulsion Conference

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“…In Table VI (11,19,19,18,16) 6/136 (12,27,30,32,32,3) 6/205 (13, 35, 44. 43, 55, 15) formulation and the CGSTAB iterative solver.…”

Section: Nauier-stakes Equationsmentioning

confidence: 99%

An ILU preconditioner with coupled node fill‐in for iterative solution of the mixed finite element formulation of the 2D and 3D Navier‐Stokes equations

Dahl

Wille

1992

Numerical Methods in Fluids

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SUMMARYIn the present paper, preconditioning of iterative equation solvers for the Navier-Stokes equations is investigated. The Navier-Stokes equations are solved for the mixed finite element formulation. The linear equation solvers used are the orthomin and the Bi-CGSTAB algorithms. The storage structure of the equation matrix is given special attention in order to avoid swapping and thereby increase the speed of the preconditioner. The preconditioners considered are Jacobian, SSOR and incomplete LU preconditioning of the matrix associated with the velocities. A new incomplete LU preconditioning with fill-in for the pressure matrix at locations in the matrix where the corner nodes are coupled is designed. For all preconditioners, inner iterations are investigated for possible improvement of the preconditioning. Numerical experiments are executed both in two and three dimensions.

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“…Hence, when the dependent variable polynomials are of order k= [0, 1, 2, 3] the quadrature rule used is for p =[0, 2,4,6] respectively. This requires [1,3,6,12] Gauss point locations respectively per triangle.…”

Section: E6aluation Of the Area Integralmentioning

confidence: 99%

“…Thareja et al [4], Batina [5], Frink [6], and others have developed discontinuous piecewise linear schemes with approximate Riemann solvers on unstructured grids. Barth and Frederickson [7] developed a technique where polynomials of degree k are reconstructed for each cell by maintaining average dependent variable properties over a neighboring set of cells in a least squares formulation.…”

Section: Introductionmentioning

confidence: 99%