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D. J. Kennett, S. Timme, J. Angulo and K. J. Badcock An implicit meshless method for application in computational fluid dynamics International Journal for Numerical Methods in Fluids 71

Version of Record online: 20 JUN 2012 | DOI: 10.1002/fld.3698

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This paper presents a solver method for the Euler, laminar, and Reynolds-Averaged Navier-Stokes equations (with Spalart-Allmaras turbulence model) for steady and unsteady flow simulations using computational fluid dynamics.

The solver uses the meshless method for the spatial discretisation; the equations are then solved in time using an implicit method, with approximate, analytical Jacobians.

Comparisons of solver accuracy and efficiency are made with linear and quadratic polynomial basis functions on various point distributions.

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