Programming C# Navier Stokes Modeling

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I just started C# programming Navier Stokes model for 3D visualized compressible fluid liquid/gas properties management of gasket-plate heat exchanger models of my company. In reality, I can't even understand the equations themselves because of unidentified PDE/tensor notations. My background is undergraduate level chemical engineering and elementary calculus and introductory linear algebra with senior level programming skill. Does anybody recommend any best approach/steps to accomplish this project from scratch. I would like to do it in 1.5 years. I found too many subjects/textbooks out to study many.