Initialization of the shallow water equations with open boundaries by the bounded derivative method
By: G. Browning and H.-O. Kreiss
References
-
Berger
, M., Gropp, W.and Oliger. 1981. Adaptive methods for hyperbolic partial differential equations. Stanford University Numerical Analysis Project Manuscript NA- 81– 18. -
Browning
, Kasaharaand Kreiss. 1980. Initialization of the primitive equations by the bounded derivative method. J. Atmos. Sc i. 37, 1424– 1436. -
Elvius
and Sundström, A. 1973. Computationally efficient schemes and boundary conditions for a fine-mesh model based on the shallow-water equa-tions. Tellus, 132– 156. -
Gustafsson
and Kreiss, H.-O. 1980. Difference approximations of hyperbolic problems with different time scales I. The reduced problem. Uppsala Univer-sity Department of Computer Science Report. -
John
. 1952. Partial differential equations. CIMS Lecture Notes, Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, N.Y.10012, 248 pp. -
Kreiss
, H.-O. 1970. Initial boundary value problems for hyperbolic differential equations. Comm. Pure App!. Math. 23, 277– 298. -
Kreiss
, H.-O. 1980. Problems with different time scales for partial differential equations. Comm. Pure App!. Math. 33, 399– 440. -
Oliger
, J.and Sundström, A. 1978. Theoretical and practical aspects of some initial-boundary value problems in fluid dynamics. SIAM J. App!. Math. 35, 419– 446. -
Sundström
, A.and Elvius.. 1979. Computational problems related to limited-area modeling. GARP Publications Series, 17, 379– 416. -
Swarztrauber
, P.and Sweet, R. 1975. Efficient FORTRAN subprograms for the solution of elliptic partial differential equations. NCAR-TNIIA-109, National Center for Atmospheric Research, Boulder, Colo., 139 pp. -
Williamson
, D.and Dickinson, R. 1976. Free oscil-lations of the NCAR global circulation model. Mon. Wea. Rev. 104, 1372– 1391.
DOI: https://doi.org/10.3402/tellusa.v34i4.10820 | Journal eISSN: 3035-9554
Language: English
Page range: 334 - 351
Submitted on: Jun 10, 1981
Accepted on: Dec 14, 1981
Published on: Jan 1, 1982
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
© 1982 G. Browning, H.-O. Kreiss, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.