Skip to main content

Convergence of an Explicit Upwind Van Leer Scheme on a Triangular Mesh for Hyperbolic Equations

  • Chapter
Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 43))

  • 575 Accesses

Abstract

In this paper, we present a method to prove the convergence of an explicit Van Leer scheme for hyperbolic equations. We use a triangular mesh. First, we describe a method for the linear case and then we study the nonlinear case.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. CHAMPIER, 1992, These, University of St-Etienne.

    Google Scholar 

  2. S. CHAMPIER, 1992: Convergence of an explicit upwind Van Leer Scheme on a triangular mesh for a non linear hyperbolique problem, publication 131, University of St-Etienne.

    Google Scholar 

  3. S. CHAMPIER, T. GALLOUET, 1991: Convergence d’un schéma décentré amont sur un maillage triangulaire pour un problème hyperbolique linéaire, to appear in M2AN.

    Google Scholar 

  4. CHAMPIER S., GALLOUET T., HERBIN R., 1991: Convergence of an upstream finite volume scheme for a non linear hyperbolic equation on a triangular mesh, publication University of Chambery, France.

    Google Scholar 

  5. CHALABI A., VILLA J.P., 1987: On a class of implicit and explicit schemes of Van Leer type for scalar conservation laws, R.T. 26 TIM3-IMAG, University Grenoble, France, to appear in Mathematical Modelling and Numerical Analysis.

    Google Scholar 

  6. DI PERNA: Convergence of Approximate Solutions to Conservation Laws, communicated by C. DAFERMOS.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Andrea Donato Francesco Oliveri

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden

About this chapter

Cite this chapter

Champier, S. (1993). Convergence of an Explicit Upwind Van Leer Scheme on a Triangular Mesh for Hyperbolic Equations. In: Donato, A., Oliveri, F. (eds) Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects. Notes on Numerical Fluid Mechanics (NNFM), vol 43. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87871-7_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-322-87871-7_16

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-528-07643-6

  • Online ISBN: 978-3-322-87871-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics