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High order well-balanced scheme for river flow modeling

Author

Listed:
  • Brandner, Marek
  • Egermaier, Jiří
  • Kopincová, Hana

Abstract

We propose a new numerical scheme based on the finite volumes to simulate the river flow in the presence of a variable bottom surface. Our approach is based on the Riemann solver designed for the augmented quasilinear homogeneous formulation. The scheme has general semidiscrete wave-propagation form and can be extended to an arbitrary high order accuracy. The main goal is to construct the scheme, which is well-balanced, i.e. maintains not only some special steady states, but all steady states which can occur.

Suggested Citation

  • Brandner, Marek & Egermaier, Jiří & Kopincová, Hana, 2012. "High order well-balanced scheme for river flow modeling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(10), pages 1773-1787.
    • Handle: RePEc:eee:matcom:v:82:y:2012:i:10:p:1773-1787
    DOI: 10.1016/j.matcom.2012.05.013
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