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It is not, in general, possible to preserve these conservation laws simply by discretization in conservative form because there is frequently only one explicit conservation law.
The dissipation part of the numerical flux is in the conservative form to maintain the conservation of conservative variables.
The surfactant dynamics are written in conservative form, thus global mass of surfactant is conserved exactly.
The discrete form of surfactant dynamics is derived in conservative form, and thus, global mass of surfactant is conserved exactly.
A main difficulty of numerical methods for multi-phase flows is that the model equations cannot always be written in conservative form, though they may be hyperbolic and derived from physical conservation principles.
And that anxiety has driven the White House's decision to pursue a fairly conservative form of health reform.
Deobandis advocate a conservative form of Islam, and some Deobandi mosques in Pakistan and Afghanistan became radicalized in recent decades.
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The IDO-CF scheme exactly conserves mass, momentum, and energy, retaining the high resolution more than the non-conservative form of the IDO scheme.
From a mathematical point of view, Eq. (3) is a hyperbolic system in non-conservative form.
We propose the overestimated quasi-conservative form of the characteristic-interpolation-based finite-difference WENO scheme.
We also show how to formulate the algorithm for equations in non-conservative form, such as Einstein's field equations themselves.
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