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Steady state C-property and global mass conservation properties are satisfied using appropriate numerical fluxes and wet/dry interfaces treatments.
These unstructured staggered mesh methods have been created to retain the attractive pressure aspects and mass conservation properties of the classic Cartesian mesh method.
The interface is described by a level set method modified with a high-order "subcell fix" with excellent mass conservation properties.
The results of several different test cases demonstrate the effectiveness of the proposed method, showing good mass conservation properties and second order converging spurious current magnitudes.
We perform a comparison of mass conservation properties of the continuous (CG) and discontinuous (DG) Galerkin methods on non-conforming, dynamically adaptive meshes for two atmospheric test cases.
In order to improve the mass conservation properties of the method, a local enrichment of the finite element basis in the elements intersected by the free boundaries is employed.
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The results show that the different types of numerical oscillation in pressure field are generated when fully conservative form or interpolation of conservative variables is selected, while quasi-conservative form generally has poor mass conservation property.
We prove the mass conservation property of the proposed discrete scheme for complex domains.
The desirable mass conservation property is able to be guaranteed with a mass correction technique in the combined algorithm.
end{aligned} (6) The mass conservation property (int_{varOmega }u^{M} x,t),mathrm{d}x=int _{varOmega }u^{M}_{0}(x),mathrm{d}x) (by letting (j=1)) ensures that Poincaré's inequality can be applied.
183 (2002) 83 116.] can substantially improve the mass conservation property of the level set method by using Lagrangian marker particles to correct the level set function in the under-resolved regions.
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