✦ LIBER ✦

Stability/dispersion analysis of the discontinuous Galerkin linearized shallow-water system

✍ Scribed by Daniel Y. Le Roux; G. F. Carey

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 856 KB
Volume: 48
Category: Article
ISSN: 0271-2091
DOI: 10.1002/fld.893

No coin nor oath required. For personal study only.

✦ Synopsis

The frequency or dispersion relation for the discontinuous Galerkin mixed formulation of the 1-D linearized shallow-water equations is analysed, using several basic DG mixed schemes. The dispersion properties are compared analytically and graphically with those of the mixed continuous Galerkin formulation for piecewise-linear bases on co-located grids. Unlike the Galerkin case, the DG scheme does not exhibit spurious stationary pressure modes. However, spurious propagating modes have been identiÿed in all the present discontinuous Galerkin formulations. Numerical solutions of a test problem to simulate fast gravity modes illustrate the theoretical results and conÿrm the presence of spurious propagating modes in the DG schemes.

📜 SIMILAR VOLUMES

Dispersion analysis of the least-squares

Dispersion analysis of the least-squares finite-element shallow-water system

✍ D. Y. Le Roux; G. F. Carey 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 381 KB 👁 2 views

Application of a second-order Runge–Kutt

Application of a second-order Runge–Kutta discontinuous Galerkin scheme for the shallow water equations with source terms

✍ G. Kesserwani; R. Ghostine; J. Vazquez; A. Ghenaim; R. Mosé 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 256 KB

Accuracy and stability analysis of numer

Accuracy and stability analysis of numerical schemes for the shallow water model

✍ Yue-Kuen Kwok 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 647 KB

The accuracy and stability properties of several two-level and three-level difference schemes for solving the shallow water model are analyzed by the linearized Fourier Method. The effects of explicit or implicit treatments of the gravity, Coriolis, convective and friction terms on accuracy and stab

Convergence analysis of the streamline d

Convergence analysis of the streamline diffusion and discontinuous Galerkin methods for the Vlasov-Fokker-Planck system

✍ M. Asadzadeh; P. Kowalczyk 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 190 KB

Picard iteration convergence analysis in

Picard iteration convergence analysis in a Galerkin finite element approximation of the one-dimensional shallow water equations

✍ B. Cathers; B. A. O'Connor 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 592 KB

Face stability of shallow circular tunne

Face stability of shallow circular tunnels driven under the water table: a numerical analysis

✍ De Buhan, P.; Cuvillier, A.; Dormieux, L.; Maghous, S. 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 229 KB 👁 2 views

The stability analysis of a tunnel excavated in a water-saturated frictional soil is investigated in the light of a failure design approach. The soil strength properties being classically formulated in terms of effective stresses, it is first shown how the effect of seepage flow generated by the exc