Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  propose a mixed finite volume--finite element numerical method for solving the full Navier--Stokes--Fourier system describing the motion of a compressible, viscous, and heat conducting fluid. The physical domain occupied by the fluid has a smooth boundary and it is approximated by a family of polyhedral numerical domains. Convergence and stability of the numerical scheme is studied. The numerical solutions are shown to converge, up to a subsequence, to a ak solution of the problem posed on the limit domain.
['Eduard Feireisl', 'Radim Hošek', 'Martin Michálek']
I am writing a research paper on a idea A Convergent Numerical Method for the Full Navier--Stokes--Fourier System in Smooth Physical Domains
[{"from": "human", "value": "I am writing a research paper on a idea A Convergent Numerical Method for the Full Navier--Stokes--Fourier System in Smooth Physical Domains"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  propose a mixed finite volume--finite element numerical method for solving the full Navier--Stokes--Fourier system describing the motion of a compressible, viscous, and heat conducting fluid. The physical domain occupied by the fluid has a smooth boundary and it is approximated by a family of polyhedral numerical domains. Convergence and stability of the numerical scheme is studied. The numerical solutions are shown to converge, up to a subsequence, to a ak solution of the problem posed on the limit domain."}]