×
Kawahara, Mutsuto; Hirano, Hirokazu; Tsubota, Khoji; Inagaki, Kazuo

Selective lumping finite element method for shallow water flow. (English) Zbl 0483.76023

Int. J. Numer. Methods Fluids 2, 89-112 (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0483.76023

Cited in 1 Review
Cited in 25 Documents

MSC:

76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
86A05 Hydrology, hydrography, oceanography
76M99 Basic methods in fluid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65D30 Numerical integration

Keywords:

selective lumping method; shallow water flow; explicit two step scheme; artifical damping effect; tidal flow in Osaka Bay and Yatsushiro Bay
Cite Review PDF
Full Text: DOI

References:

[1] and , ’Numerical experiences from the computation of tidal waves by the finite element methods’, in Finite Elements in Water Resorces (Eds. et al.), Pentech Press, 1976. pp. 419-431.
[2] and , ’Finite element applications for transient processes in estuaries’, in Formulation and Computational Algorithm in Finite Element Analysis (Eds. et al.), M.I.P. Press, 1976. pp. 917-957.
[3] Young, Proc. ASCE 103 pp 109– (1977)
[4] and , ’Finite element solutions in Fourier Space, with application to Knight Inlet, British Columbia’, (Eds. Norrie et al.), 3rd Int. Conf. Finite Element Methods in Flow Problems, 103-112 (1980.).
[5] and , ’A new approach to the computation of tidal motions in estuaries’ in Hydrodynamics of Estuaries and Fjords (Ed. ), North-Holland, 1978. pp. 261-281. · doi:10.1016/S0422-9894(08)71284-4
[6] and , ’Finite element analysis of two-layered tidal flow’, in Applications of Computer Methods in Engineering (Ed. ), University of Southern California, 1977. pp. 1357-1366.
[7] Kawahara, Comp. Fluid. 5 pp 175– (1977)
[8] Kawahara, Int. J. num. Meth. Engng 12 pp 115– (1978)
[9] Kawahara, Int. j. numer. methods fluids 1 pp 45– (1981)
[10] Pearson, J. Phys. Ocean. 7 pp 520– (1977)
[11] and , ’Application of the finite element method to periodic tidal computation’, Proc. 3rd Int. Conf. Finite Elements in Water Resources (Eds. S. Y. Wang et al.) (1980.).
[12] and , ’Finite element computation of some tidal spectral components’, (Eds. S. Y. Wang et al.), Proc. 3rd Int. Conf. Finite Elements in Water Resources (1980.).
[13] and , ’A time-split finite element algorithm for environmental release prediction’, in Finite Elements in Water Resources (Eds. Brebbia et al.), 1978. pp. 4.53-4.65.
[14] and , ’Analysis of a finite element algorithm for numerical predictions in water resources research’, in Finite Elements in Water Resources (Eds. et al.), The University of Mississippi, 1980.
[15] and , ’Finite element models for circulation studies’, in Mathematical Models for Environmental Problems (Ed. ), Pentech Press, 1975. pp. 141-159.
[16] Brebbia, Appl. Math. Mod. 1 pp 101– (1976)
[17] Partridge, Proc. ASCE 102 pp 1299– (1976)
[18] and , ’Some finite element applications in environmental hydrodynamics’, U.S.-Japan Seminar on Interdisciplinary Finite Element Analysis (Eds. et al.), Cornell University, p. A9 (1978.).
[19] and , ’A two dimensional hydrodynamic model of tidal estuaries’, in Finite Elements in Water Resources (Eds. Brebbia et al.), 1978. pp. 2.3-2.21.
[20] and , ’Calculations of estuarine residual currents using the finite element method’, Proc. 3rd Int. Conf. in Finite Element Methods in Flow Problems (Eds. D. H. Norrie), II, 60-69 (1980.).
[21] and , ’Finite element modelling of hydrodynamic circulation’, in Numerical Methods in Fluid Dynamics (Eds. et al.), Pentech Press, 1977. pp. 355-387.
[22] ’An efficient finite element scheme for two dimensional surface water computation’ in Finite Elements in Water Resources (Eds. Pinder et al.), Pentech Press, 1977. pp. 433-449.
[23] Gray, Advances Water Resources 2 pp 83– (1977)
[24] and , ’Finite element simulation of shallow water problems with moving boundaries’, in Finite Elements in Water Resources (Eds. Pinder et al.), 1978. pp. 2.23-2.42.
[25] ’Two dimensional flow modelling by finite elements’, Proc. 3rd Int. Conf. Finite Elements in Water Resources (Eds. S. Y. Wang et al.), (1980.).
[26] Grotkop, Comp. Meth. Appl. Mech. Engng. 2 pp 147– (1973)
[27] ’Finite element model for estuaries with inter-tidal flats’, Proc. 15th Coastal Engng Conf. Honolulu, ASCE 3396-3415 (1976.).
[28] ’Tidal computation in the Elbe estuary with a coupled FE model’, Proc. 3rd Int. Conf. Finite Elements in Water Resources (Eds. S. Y. Wang. et al.), (1980.).
[29] ’Finite elements, a flexible tool for modelling estuarine processes’, in Mathematical Modelling of Estuarine Physics (Eds. et al.), Springer-Verlag, 1980.
[30] and , ’Tidal wave analysis for estuaries with intertidal flats’, Proc. 3rd Int. Conf. Finite Elements in Water Resources (Eds. Wang et al.), (1980.).
[31] ’Finite element model for open channel flow near critical conditions’, Proc. 3rd Int. Conf. Finite Elements in Water Resources (Eds. Wang. et al.), (1980.).
[32] and , ’Recent application of RMA’s finite element models for two dimensional hydrodynamics and water quality’, in Finite Elements in Water Resources (Eds. Pinder et al.), 1978. pp. 2.81-2.99.
[33] and , ’Application of the finite element method to vertically stratified hydrodynamic flow and water quality’, Proc. 3rd Int. Conf. Finite Elements in Water Resources (Eds. Wang et al.), (1980.).
[34] ’An upwind finite element formulation for convention or buoyancy dominated flows in rivers, bays and estuaries’, Proc. 3rd Int. Conf. Finite Elements in Water Resources (Eds. Wang et al.), (1980.).
[35] ’A water pollution prediction system by the finite element method’, in Finite Elements in Water Resources (Eds. Pinter, et al.), 1978. pp. 2.101-2.117.
[36] ’Discretization and time integration schemes for hydrodynamical finite element models’, in Formulations and Computational Algorithm in Finite Element Analysis (Eds. Bath et al.), 1976. pp. 1012-1038.
[37] Platzman, J. Phys. Ocean. 8 pp 323– (1978)
[38] Staniforth, Mon. Wea. Rev. 105 pp 1108– (1977)
[39] Staniforth, Mon. Wea. Rev. 105 pp 154– (1977)
[40] Staniforth, Mon. Wea. Rev. 106 pp 439– (1978)
[41] ’Computation of barotropic tides by the finite element method’, in Finite Elements in Water Resources (Eds. et al.), Pentech Press, 1976. pp. 451-467.
[42] , and , ’Numerical methods for tidal propagation applied to a hybrid model of the Bay of Fundy’, Proc. 3rd Inf. Conf. Finite Elements in Water Resources (Eds. S. Y. Wang et al.), (1980.).
[43] and , ’Depth-Averaging models of river flows’, Proc. 3rd Int. Conf. Finite Elements in Water Resources (Eds. S. Y. Wang et al.), (1980.).
[44] and , ’A finite element solution of depth averaged two dimensional Navier-Stokes equations in river and channels’, Proc. 3rd Inf. Conf. Finite Elements in Water Resources (Eds. S. Y. Wang et al.), (1980.).
[45] and , ’Finite element applications to lake circulations and diffusion problems in Lake Biwa’, in Finite Element Methods in Flow Problems (Eds. et al.), I.C.C.A.D. (1976.). · Zbl 0442.76018
[46] and , ’Finite element analysis of typhoon surge in Ise Bay’, U.S.–Japan Seminar on Interdisciplinary Finite Element Methods (Eds. et al.), Cornell University, p. J11 (1978.).
[47] and , ’The ocean boundary value problems in ocean dynamics by finite elements’, Proc. 3rd Int. Conf. on Finite Elements in Water Resources (Eds. S. Y. Wang et al.), (1980.).
[48] Taylor, Comp. Fluid. 3 pp 125– (1975)
[49] and , ’Tidal propagation and dispersion in estuaries’, in Finite Elements in Fluids Vol. 1, Wiley, Chichester, 1975. pp. 95-118.
[50] Cullen, J. Inst. Math. Appl. 11 pp 15– (1973)
[51] Cullen, Quart. J. R. Met. Soc. 100 pp 555– (1974)
[52] Cullen, J. Inst. Math. Appl. 13 pp 233– (1974) · doi:10.1093/imamat/13.2.233
[53] ’The application of finite element methods to primitive equation of fluid motion’, in Finite Elements in Water Resources (Eds. et al.), Pentech Press, 1977. pp. 4.231-4.245.
[54] and , ’Finite element analysis on the tidal current and the COD distribution of Mikawa Bay’, Proc. IFAC Symp. Environmental Systems Planning Design and Control (1977.).
[55] Kawahara, Int. J. num. Meth. Engng 12 pp 331– (1978)
[56] , and , ’Tsunami wave propagation analysis by the finite element method’, in Finite Element Methods in Water Resources (Eds. C. A. Brebbia et al.), (1978)., pp. 2.130-2.150.
[57] and , ’Finite element method for unsteady shallow water wave equation’, U.S.-Japan Seminar on Interdisciplinary Finite Element Methods (Eds. et al.), Cornell University (1978.).
[58] ’On finite element methods in shallow water long wave flow analysis’, in Computational Methods in Nonlinear Mechanics (Ed. ), North-Holland, 1980.
[59] Kawahara, Proc. ASCE 106 pp 519– (1980)
[60] Kawahara, Int. J. num. Meth. Engng 15 pp 1129– (1980)
[61] Nakazawa, Proc. 3rd Int. Conf. Finite Element Methods in Flow Problems II pp 1– (1980)
[62] Kobayashi, Proc. 3rd Int. Conf. Finite Element Methods in Flow Problems II pp 80– (1980)
[63] Cochet, Proc. 3rd Int. Conf. Finite Element Methods in Flow Problems II pp 113– (1980)
[64] ’Multi-level finite element hydrodynamic model of Block Island sound’, in Finite Elements in Water Resources (Eds. Pinder er al.), 1975. pp. 469-493.
[65] Wang, Proc. ASCE 104 pp 53– (1978)
[66] ’Analysis of tide and current meter data for model verification’, in Mathematical Modelling of Estuarine Physics, (Eds. et al.), Springer-Verlag, 1980.
[67] Yamada, Reports of Flow in Channel 96 pp 23– (1976)
[68] , and , ’Finite element analysis on flow and substance dispersion’, Technical Note, Port and Harbor Research Institute (in Japanese), June (1981.).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.