 Kinematic sedimentation (source code)

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= Kinematic sedimentation
{title2=$\phi_t+\partial_zj(\phi)=0$}

= Kinematic sedimentation theory
{synonym}

A one-dimensional <particle suspension> settling without particle diffusion or overturning obeys the <scalar conservation law> $\phi_t+\partial_zj(\phi)=0$. The upward flux is negative for downward settling. <Characteristic curves>, compressive <shocks> and <rarefaction waves> describe concentration transport rather than individual particle paths.

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