Publications of Eiseman, Peter R.

  • Multi-block Structured Grid Approach for Solving Flows over Complex Aerodynamics Configurations

    Vatsa V.N., Sanetrik M.D., Parlette E.B., Eiseman P.R., Cheng Z.

    Published in 1994

    A finite-volume, central-difference code, developed for solving three-dimensional flows, is used to obtain viscous solutions for a high lift configuration of practical interest. A novel block-structured grid approach is employed to generate computational grids suitable for resolving high gradient regions without propagating the denser grids to the far-field. The number of mesh points required for such grids is considerably less than that with conventional block-structured grids, where high density grids propagate all the way to the far-field in order to maintain C0 continuity (point-to-point match) across the block boundaries. Computational results are presented for a 3-element airfoil to demonstrate the feasibility of this approach for aerodynamic computations. The computed solutions compare well with experimental data and demonstrate the flexibility and flows over complex geometries.

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  • Algebraic Grid Generation with Control Points

    Eiseman P.R., Choo Y.K., Smith R.E.

    Published in 1992

    This chapter discusses the use and application of the control point from of algebraic grid generation (CPF) and broadly indicates future benefits and corresponding developments. In the course this chapter, various enhancements to the theory will arise. In topological terms, the application will extend into a multiblock environment, and in operational terms, those applications will be executed with a number of automatic features.

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  • Control Point Grid Generation

    Eiseman P.R.

    Published in 1992

    The control point form of algebraic grid generation is developed in a rigorous manner to illucidate the key attributes of the mathematical theory and is demonstrated graphically to visualize the type of action that is possible. Altogether, the algebraic coordinate transformation represents a flexible structure that is adaptable to various situations. This presents the capability to effectively free-form model the boundaries of objects in a field about which a numerical simulation is to be performed with the generated grid.

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  • Adaptive Grid Method for Unsteady Flow Problems

    Bockelie M.J., Eiseman P.R.

    Published in 1992

    An adaptive grid solution method is described for computing the time accurate solution of an unsteady flow problems. The solution method consists of three parts: a grid point redistribution method; an unsteady Euler equation solver; and a temporal coupling routine that links the dynamic grid to the flow solver. The grid movement technique is a direct curve by curve method containing grid controls that generate a smooth grid that resolves the severe solution gradients and the sharp transitions in the solution gradients. By design, the temporal coupling procedure provides a grid that does not lag the solution in time. The adaptive solution method is tested by computing the unsteady inviscid solutions for a one-dimensional shock tube and a two-dimensional shock vortex interaction. Quantitative comparisons are made between the adaptive solutions, theoretical solutions and numerical solutions computed on stationary grids. Test results demonstrate the good temporal tracking of the solution by the adaptive grid, and the ability of the adaptive method to capture an unsteady solution of comparable accuracy to that computed on a stationary grid containing significantly more points than used in the adaptive grid.

    Keywords: Solution adaptive, Time accurate, Unsteady flow

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  • Algebraic-Elliptic Grid Generation

    Eiseman P.R., Lu N., Jiang M., Thompson J.F.

    Published in 1991

    The control point form (CPF) of algebraic grid generation has been combined with elliptic grid generation to obtain smooth grid with less computational time and storage space. By first elliptically generating a sparse net of control points, we generate dense grids algebraically from the control net with the help of CPF. This new strategy of algebraic-elliptical grid generation proves to be much faster in time and and smaller in storage space than directly generating the dense grid elliptically.

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