A symmetric formulation for computing transient shallow water flows
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Publication:1971438
DOI10.1016/S0045-7825(98)00007-3zbMath0962.76050WikidataQ127633887 ScholiaQ127633887MaRDI QIDQ1971438
Publication date: 11 May 2000
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
shallow water equationssource termssemi-discrete finite element methodstability principlefirst-order explicit methodfirst-order implicit methodpredictor multi-corrector algorithmsecond-order trapezoidal rulesymmetric advective-diffusive systemstotal energy equation
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- Unnamed Item
- Unnamed Item
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- High resolution schemes for hyperbolic conservation laws
- A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems
- Skew-selfadjoint form for systems of conservation laws
- A new finite element formulation for computational fluid dynamics. IX: Fourier analysis of space-time Galerkin/least-squares algorithms
- Adaptive streamline diffusion methods for compressible flow using conservation variables
- Systems of conservation laws of mixed type
- Genuinely multidimensional upwinding for the 2D shallow water equations
- A unified approach to compressible and incompressible flows
- Finite element solution of compressible viscous flows using conservative variables
- A comparative study of different sets of variables for solving compressible and incompressible flows
- SUPG finite element computation of viscous compressible flows based on the conservation and entropy variables formulations
- SUPG finite element computation of compressible flows with the entropy and conservation variables formulations
- AN ENTROPY VARIABLE FORMULATION AND APPLICATIONS FOR THE TWO-DIMENSIONAL SHALLOW WATER EQUATIONS