A relaxation approach to patched-grid calculations with the Euler equations
Journal of Computational Physics
A general three-dimensional elliptic grid generation system on a composite block structure
Computer Methods in Applied Mechanics and Engineering
Using MPI: portable parallel programming with the message-passing interface
Using MPI: portable parallel programming with the message-passing interface
Approximate Riemann solvers, parameter vectors, and difference schemes
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
A parallel viscous turbomachinery flow solver and application to distortion-induced compressor rotor stall
Iced airfoil simulation using generalized grids
Applied Numerical Mathematics - Special issue: Applied numerical computing: Grid generation and solution methods for advanced simulations
A moving overset grid method for interface dynamics applied to non-Newtonian Hele-Shaw flow
Journal of Computational Physics
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The numerical approaches used for the solution of governing equations of fluid flow are dictated highly by the topology of the domain discretization. Two of the most commonly used discretization approaches are the structured and unstructured topologies. This paper describes the discretization of the domain using generalized elements with an arbitrary number of nodes to combine the advantages of both the structured and unstructured methodologies. Numerical algorithms for the solution of the governing equations for generalized mesh, an approach for handling mesh movement applicable to rotating machineries, and the application of this framework for overset meshes to handle moving body problems are discussed. A library-based approach has been adopted for the implementation of overset capability for the framework. The results from the application of this framework for various applications are presented.