Part I: Mathematical tools.- Introduction to tensor analysis.- Elements of di?erential geometry of a surface.- Separability of PDE.- Orthogonal curvilinear coordinate systems.- Sturm-Liouville problems.- Part II: Mass, momentum and energy conservation equations in curvilinear coordinates.- Conservation equations.
Part I: Mathematical tools.- Introduction to tensor analysis.- Elements of di?erential geometry of a surface.- Separability of PDE.- Orthogonal curvilinear coordinate systems.- Sturm-Liouville problems.- Part II: Mass, momentum and energy conservation equations in curvilinear coordinates.- Conservation equations.