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  • 1
    Electronic Resource
    Electronic Resource
    A semi-implicit scheme for the barotropic primitive equations of atmospheric dynamics (1997)
    Bradford : Emerald
    International journal of numerical methods for heat & fluid flow 7 (1997), S. 63-80 
    Details
    ISSN: 0961-5539
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The primitive equations of a barotropic atmosphere in isobaric co-ordinates are reformulated, in order to express the geopotential gradient as a function of the pressure at the Earth's surface. Furthermore, the free surface equation is written in conservative form. A finite difference, semi-implicit, semi-Lagrangian scheme in isobaric co-ordinates is developed. The numerical scheme is mass conservative, is proven to be stable and requires the solution of a single five-diagonal system. Numerical simulations show that the model captures the main dynamical features of large scale atmospheric motion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1108/09615539710156200
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Semi-implicit finite difference methods for the two-dimensional shallow water equations
    Amsterdam : Elsevier
    Journal of Computational Physics 86 (1990), S. 56-74 
    Details
    ISSN: 0021-9991
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Computer Science , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1016/0021-9991(90)90091-E
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Pressure method for the numerical solution of transient, compressible fluid flows (1984)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 4 (1984), S. 1001-1012 
    Details
    ISSN: 0271-2091
    Keywords: Compressible Fluid Flow ; Numerical Analysis ; Pressure Method ; von Kármán Vortex Street ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: In this paper the pressure method for incompressible fluid flow simulation is extended and applied to the numerical simulation of compressible fluid flow. The governing equations, obtained from the physical principles of conservation of momentum, mass and energy, are first studied from a characteristic point of view. Then they are discretized with a semi-implicit finite difference technique in such a fashion that stability is achieved independently of the speed of sound. The resulting algorithm is fast, accurate and particularly efficient in subsonic flow calculations. As an example, the computer simulation of the von Kármán vortex street is described and discussed.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650041102
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Numerical solution of free surface, porous flow problems (1982)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 2 (1982), S. 115-122 
    Details
    ISSN: 0271-2091
    Keywords: Navier-Stokes ; Free Surface ; Porous Flow ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: An inexpensive, finite difference numerical method is developed for the approximate solution of general, free surface, porous flow problems. The method is so designed that the required numerical boundary conditions coincide exactly with the required physical boundary conditions. In the present paper, application is made to prototype, steady state, dam flow problems.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650020202
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    A robust, finite element model for hydrostatic surface water flows (1998)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 14 (1998), S. 931-940 
    Details
    ISSN: 1069-8299
    Keywords: Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A finite element scheme is introduced for the 2-dimensional shallow water equations using semi-implicit methods in time. A semi-Lagrangian method is used to approximate the effects of advection. A wave equation is formed at the discrete level such that the equations decouple into an equation for surface elevation and a momentum equation for the horizontal velocity. The convergence rates and relative computational efficiency are examined with the use of three test cases representing various degrees of difficulty. A test with a polar-quadrant grid investigates the response to local grid-scale forcing and the presence of spurious modes, a channel test case establishes convergence rates, and a field-scale test case examines problems with highly irregular grids. © 1998 John Wiley & Sons, Ltd.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
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