Abstract
Numerical simulations of atmospheric flows are based on the conservation principles of mass, momentum and energy. These principles — expressed in terms of conserved integrals — are conveniently cast into differential form, the hydrodynamical equations. Depending on the application, these equations are altered to a variety of different forms with different mathematical properties and different requirements on initial and/or boundary conditions in order to represent well-posed problems.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Burridge, D. M. 1975 A split semi-implicit reformulation of the Bushby-Timpson 10-level model. Quart. J. Roy. Meteorol. Soc. 101, 777–792
Cullen, M.J.P. 1990 A test of a semi-implicit integration technique for a fully compressible non-hydrostatic model. Quart. J. Roy. Meteorol. Soc. 116, 1253–1258
Davies, H. C. 1983 Limitations of some common lateral boundary schemes used in regional NWP models. Mon. Wea. Rev. 111, 1002–1011
Deardorff, J. W. 1972 Parameterization of the planetary boundary layer for use in general circulation models. Mon. Wea. Rev. 100, 93–106
Durran, D. R. & Yang, M.-Y. 1993 Toward more accurate wave-permeable boundary conditions. Mon. Wea. Rev. 121, 604–620
Durran, D. R. 1989 Improving the anelastic approximation. Improving the anelastic approximation. 46, 1453–1461
Dutton, J.A. & Fichtl, G. H. 1969 Approximate equations of motion for gases and liquids. J. Atmos. Sci. 26, 241–254
Engquist, B. & Majda, A. 1977 Absorbing boundary conditions for the numerical simulation of waves. Mathematics of Computation 31, 629–651
Foreman, M. G. G. 1986 An Accuracy analysis of boundary conditions for the forced shallow Water equations. J. Comp. Phys. 64, 334–367
Givoli, D. 1991 Non-reflecting boundary conditions. J. Comp. Phys. 94, 1–29
Gresho, P. M. 1991 Incompressible fluid dynamics: some fundamental formulation issues. Ann. Rev. Fluid. Medi. 23, 413–453
Gresho, P. M. 1987 On pressure boundary conditions for the incompressible NavierStokes equations. Int. J. Num. Meth. Fluids 7, 1111–1145
Gyarmati, 1970 Non-equilibrium thermodynamics. Springer Verlag, Berlin
Hadamard, J. 1921 Lectures on Cauchy’s Problem in Linear Partial Differential Equations. Yale University, Reprint Dover, New York 1956
Hedstrom, G. W. 1979 Nonreflecting boundary conditions for nonlinear hyperbolic systems. J. Comp. Phys. 30, 222–237
Klemp, J. P. & Durran, D. R. 1983 An upper boundary condition permitting internal gravity wave radiation in numerical mesoscale models. Mon Wea. Rev. 111, 430–444
Klainerman, S. & Majda, A. 1981 Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Corn. Pure Appl. Math. XXXIV, 481–524
Klainerman, S. & Majda, A. 1982 Compressible and incompressible fluids. Corn. Pure Appl. Math. XXXV, 629–651
Kreiss, H.-O. & Lorenz, A. 1989 Initial-boundary value problems and the NavierStokes equations. Academic Press, Boston
Kröner, D. 1991 Absorbing boundary conditions for the linearized Euler Equations in 2-d. Mathematics of Computing, 57, 153–167
Nirenberg, L. 1973 Lectures on linear partial differential equations. C.B.M.S. Regional Conf. Ser. in Math. no 17, Providence, Rhode Island
Ogura, Y. & Phillips, N.A. 1962 Scale analysis of deep and shallow convection in the atmosphere. J. Atmos. Sci. 19, 173–179
Orlanski, I. 1976 A simple boundary condition for multi-dimensional flows. J. Comp. Phys. 21, 251–269
Raymond, W. H. & Kuo, H. L. 1984 A radiation boundary condition for multi-dimensional flow. Quart. J. Roy. Meteorol. Soc. 110, 535–551
Tatsumi, Y. 1980 Comparison of the time-dependent lateral boundary conditions proposed by Davies and Hovermale. WGNE Progress Rep. No. 21, WMO Secretariat 93–94
Wippermann, F. 1981 The applicability of several approximations in meso-scale modelling — a linear approach. Contrib. Phys. Atmos. 54, 298–308
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Eppel, D.P., Callies, U. (1995). Boundary Conditions and Treatment of Topography in Limited-Area Models. In: Gyr, A., Rys, FS. (eds) Diffusion and Transport of Pollutants in Atmospheric Mesoscale Flow Fields. ERCOFTAC Series, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8547-7_2
Download citation
DOI: https://doi.org/10.1007/978-94-015-8547-7_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4501-0
Online ISBN: 978-94-015-8547-7
eBook Packages: Springer Book Archive