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The conserved quantities at different time during the interaction scenario are given in Table 7, it is very clear that the conserved quantity (I_{1}) is exactly conserved.
The numerical scheme is based on a family of schemes called geometric or discrete variational integrators guaranteeing that the momentum and energy are exactly conserved over long periods of time for conservative systems.
Should this be possible, the proton would necessarily have the same charge as the positron, for charge is exactly conserved in all reactions.
Moreover, linear and angular momenta are also exactly conserved whenever the exact system does.
In the numerical method, the masses of the flow components and the surfactant mass are exactly conserved.
In this way kinetic energy is exactly conserved even in case of non-zero tangential boundary conditions.
Similar(32)
Then our new method can be applied to conservatively advect mass, momentum and total energy in order to exactly conserve these quantities, and remove the remaining time step restriction based on fluid velocity that the original scheme still had.
The IDO-CF scheme exactly conserves mass, momentum, and energy, retaining the high resolution more than the non-conservative form of the IDO scheme.
Notably, the model exactly conserves both linear and angular momentum.
The resulting discrete-in-time trajectories are then consistent with the laws of thermodynamics for these systems: for an isolated system, they exactly conserve the total entropy, and nearly exactly conserve the total energy over exponentially long periods of time.
Resulting discrete Hamiltonian's canonical equations are single time-step difference equations and exactly conserve the Hamiltonian.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com