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Advanced Research WRF (ARW) Technical Note - MMM - University ...

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Chapter 6<br />

Lateral Boundary Conditions<br />

Several lateral boundary condition options exist for the <strong>ARW</strong> that are suitable for idealized<br />

flows, and a specified lateral boundary condition for real-data simulations is available. These<br />

choices are handled via a run-time option in the Fortran namelist file. The coarsest grid of<br />

any single simulation is eligible for any of the lateral boundary selections. For example, realdata<br />

cases could use combinations of periodic, symmetric, or open lateral boundary conditions<br />

instead of the more traditional time-dependent conditions provided by an external boundary<br />

file. However, use of the specified time-dependent lateral boundary conditions for one of the<br />

idealized simulations is not possible because an external boundary file is not generated. The<br />

<strong>ARW</strong> supports rectangular horizontal grid refinement with integer ratios of the parent and child<br />

grid distances and time steps.<br />

For nesting, all fine domains use the nest time-dependent lateral boundary condition where<br />

the outer row and column of the fine grid is specified from the parent domain, described in<br />

Section 7.3.<br />

6.1 Periodic Lateral Boundary Conditions<br />

Periodic lateral boundary conditions in the <strong>ARW</strong> can be specified as periodic in x (west-east),<br />

y (south-north), or doubly periodic in (x, y). The periodic boundary conditions constrain the<br />

solutions to be periodic; that is, a generic model state variable ψ will follow the relation<br />

ψ(x + nLx, y + mLy) = ψ(x, y)<br />

for all integer (n, m). The periodicity lengths (Lx, Ly) are<br />

[(dimension of the domain in x) - 1]∆x and [(dimension of the domain in y) - 1]∆y.<br />

6.2 Open Lateral Boundary Conditions<br />

Open lateral boundary conditions, also referred to as gravity-wave radiating boundary conditions,<br />

can be specified for the west, east, north, or south boundary, or any combination thereof.<br />

The gravity wave radiation conditions follow the approach of Klemp and Lilly (1978) and Klemp<br />

and Wilhelmson (1978).<br />

There are a number of changes in the base numerical algorithm described in Chapter 3 that<br />

accompany the imposition of these conditions. First, for the normal horizontal velocities along<br />

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