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For example, the VoF method is known to be prone to excessive numerical diffusion, while the basic LS method has some difficulty in conserving mass.
This currently is, to the authors' knowledge, the only scheme available that is demonstrably capable of conserving mass, momentum and kinetic energy (in the absence of viscosity) on both uniform and non-uniform grids.
By conserving mass in an elemental control volume and applying transport rate equation, the following equation is obtained: - left[ {frac{2pi rhk}{mu }rho frac{partial p}{partial r}} right]_{r} = - left[ {frac{2pi rkh}{mu }rho frac{partial p}{partial r}} right]_{r + Delta r} +, 2pi rDelta rhfrac{partial }{partial t}left( {rho phi } right) (15).
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A primary advantage in using the finite volume method for simulating groundwater flow and overland flow is the conservation property or the ability to conserve mass.
The scheme conserves mass, overcoming problems of mass conservation typically experienced with offline transport models, and permits long time steps (relative to the Courant number) to be used by the offline model.
In capturing material interfaces between species of different densities, a quasi-conservative five equation model that can conserve mass of each species is used to prevent pressure oscillations across the interfaces.
The resulting 'MaMEC' discretizations conserve mass, momentum as well as energy, although no explicit conservation law for the total energy is present.
The IDO-CF scheme exactly conserves mass, momentum, and energy, retaining the high resolution more than the non-conservative form of the IDO scheme.
In addition, SPH simulations explicitly conserve mass and linear momentum.
Unlike the commonly used method of clipping, this conserves mass.
Moreover, the new scheme can conserve mass and energy.
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