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Full-Text Articles in Physical Sciences and Mathematics
Semi-Implicit And Fully Implicit Shock-Capturing Methods For Nonequilibrium Flows, Helen C. Yee, Judy L. Shinn
Semi-Implicit And Fully Implicit Shock-Capturing Methods For Nonequilibrium Flows, Helen C. Yee, Judy L. Shinn
United States National Aeronautics and Space Administration: Publications
Some numerical aspects of finite-difference algorithms for nonlinear multidimensional hyperbolic conservation laws with stiff nonhomogeneous (source) terms are discussed. If the stiffness is entirely dominated by the source term, a semi-implicit shock-capturing method is proposed. However, if the stiffness is not solely dominated by the source terms, a fully implicit method would be a more efficient solution procedure. The primary motivation for constructing these schemes was to address large systems of thermally and chemically nonequilibrium flows in the hypersonic regime. Due to the unique structure of the eigenvalues and eigenvectors for fluid flows of this type, the computation can be …
A Class Of High-Resolution Explicit And Implicit Shock-Capturing Methods, Helen C. Yee
A Class Of High-Resolution Explicit And Implicit Shock-Capturing Methods, Helen C. Yee
United States National Aeronautics and Space Administration: Publications
The development of shock-capturing finite difference methods for hyperbolic conservation laws has been a rapidly growing area for the last decade. Many of the fundamental concepts, state-of-the-art developments and applications to fluid dynamics problems can only be found in meeting proceedings, scientific journals and internal reports. This paper attempts to give a unified and generalized formulation of a class of high-resolution, explicit and implicit shockcapturing methods, and to illustrate their versatility in various steady and unsteady complex shock waves, perfect gases, equilibrium real gases and nonequilibrium flow computations. These numerical methods are formulated for the purpose of ease and efficient …