2.17 Non-linear advection schemes

Non-linear advection schemes invoke non-linear interpolation and are widely used in computational fluid dynamics (non-linear does not refer to the non-linearity of the advection operator). The flux limited advection schemes belong to the class of finite volume methods which neatly ties into the spatial discretization of the model.

When employing the flux limited schemes, first order upwind or direct-space-time method the time-stepping is switched to forward in time.

• 2.17.1 Second order flux limiters
• 2.17.2 Third order direct space time
• 2.17.3 Third order direct space time with flux limiting
• 2.17.4 Multi-dimensional advection

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