Fast evaluation of complex equations of state

Electronic Journal of Differential Equations

关键词: Tabular approximation;    adaptive sampling;    Bezier surface;    spline;    interpolation;   

DOI  :  

来源: DOAJ

【 摘 要 】

One of the most common operations encountered incomputational fluid dynamics (CFD) solvers is the evaluation of thecaloric and thermal equations of state (EoS) which are required tocompute thermodynamic state variables from the conserved values thatare typically being advanced by the simulation. The complexity ofthese calculations can vary widely depending on the nature of thefluid under consideration. We present a method for generating aninterpolated representation of the EoS that is fairly inexpensive toevaluate regardless of the complexity of the actual underlying stateequations. This approach has the advantage of being agnostic towardsthe original representation; whether it be a complex analyticexpression, expensive iterative method, or interpolated fromempirical data.

【 授权许可】

Unknown