The
project focuses on the extension to more complex thermodynamic models and
equation of states of a two and three dimensional compressible fluid dynamic
solver for the Euler and Navier–Stokes equations. Specific interest are
developed to the implementation and use of the polytropic van der Waals (PvdW),
and the polytropic Peng-Robinson (PR) models in one of the compressible solver
available in our research group. The goal is to investigate and asses the
accuracy of the PvdW and PR models coupled with the the so-called conservation
element and solution element (CESE) algorithm for simulating nonideal
compressible fluid flows. The latter is a branch of fluid mechanics which
studies the characteristic of dense va- pors, supercrtical flows, and
compressible two-phase flows where the thermodynamics of the fluid differ
substantially from that of the perfect gas. In fact, in particular thermo-
dynamic conditions, the fluid flows may exhibit nonclassical gas-dynamic
phenomena, e.g., expansion shock waves. The application of nonideal
compressible fluid flows in industry is already widespread. They can be found
in CO2 power
cycles, pharmaceu- tical processing, transport of fuels at high-speed, organic
Rankine cycles for power conversion. Therefore, an accurate understanding of
the complex physics behind fluid flows that differ substantially from that of
the perfect gas would undoubtedly pave the way for introducing technological
improvements in real-world applications. A number of research projects are
actively ongoing for better understanding and modeling non- ideal compressible
fluid flows and defining implications in terms of engineering design. However,
as already shown several researchers, the accuracy of the thermodynamic model
has a strong influence on the simulation of nonclassical phenomena, to the
point that their presence can depend on the accuracy with which fluid model
parameters are determined. Thus, a high-fidelity and highly accurate simulation
of nonideal compress- ible fluid flows is of paramount importance and can
provide considerable insights both for the study of nonideal thermodynamics and
engineering design and optimization.

In this
projects, the CESE algorithm coupled with a the PvdV and PR thermodynamic model
will be used. The subsonic inviscid flow over a NACA-0012 airfoil, the tran-
sonic inviscid flow over a NACA-0012 airfoil and the Prandtl-Meyer expansion
will be used for the assessment of the numerical accuracy and efficiency of the
new solver for nonideal compressible fluid flows.

Implement new thermodynamic models in an existing, high preformat CESE
code, port fundamental part of the solver to single and multiple GPU and solve some canonical but extremely important test problems to validate
the solver

Applied Mathematics
and Computational Science; GPU programming; Compressible Flows