Ninth MSU-UAB Conference on Differential Equations and Computational Simulations.
Electron. J. Diff. Eqns., Conference 20 (2013), pp. 27-37.
Title: Fast evaluation of complex equations of state
Authors: Eric M. Collins (Mississippi State Univ., Mississippi State, MS, USA)
Edward A. Luke (Mississippi State Univ., Mississippi State, MS, USA)
Abstract:
One of the most common operations encountered in
computational fluid dynamics (CFD) solvers is the evaluation of the
caloric and thermal equations of state (EoS) which are required to
compute thermodynamic state variables from the conserved values that
are typically being advanced by the simulation. The complexity of
these calculations can vary widely depending on the nature of the
fluid under consideration. We present a method for generating an
interpolated representation of the EoS that is fairly inexpensive to
evaluate regardless of the complexity of the actual underlying state
equations. This approach has the advantage of being agnostic towards
the original representation; whether it be a complex analytic
expression, expensive iterative method, or interpolated from
empirical data.
Published October 31, 2013.
Math Subject Classifications: 65D15.
Key Words: Tabular approximation; adaptive sampling; Bezier surface;
spline; interpolation.