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The fully-discrete formulation inherits the main characteristics of conserved phase dynamics, namely, mass conservation and nonlinear stability with respect to the free energy.
The governing hydrodynamic equations for this scheme consist of the conservative forms of the momentum balance (Navier Stokes), mass conservation, and total energy equations.
Mass conservation and momentum conservation for moving fluids.
Focuses on the first and second laws of thermodynamics, mass conservation, and momentum conservation, for both closed and open systems.
The projection method presented in this paper ensures mass conservation and positivity.
And, the scheme can preserve the mass conservation and energy dissipation properties of the original problem.
A rigorous mathematical model for the jet trajectory was developed based on geometric analysis, mass conservation, and momentum.
Shock wave model in association with the mass conservation and Newton׳s second law are employed to solve the problem.
The mass conservation and interface shapes at equilibrium were tested through the simulation of drop spreading on a circular cylinder.
In addition, the methods assure local mass conservation and can be interpreted as stabilized primal hybrid methods.
The proposed algorithm is designed to maintain mass conservation and to guarantee positivity of the cell density.
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