Developments of the flux finite element method in two-dimensional potential flow problems

Lucchi, Ciro W.

doi:10.2514/6.1978-55

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1980

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“…The main mathematical features of the equations of fluid dynamics are (1) Existence of a conservation principle. (2) Hybrid character of the partial differential equations. The method presented in this paper has already appeared in the literature,' having been applied to the two-dimensional potential flow; there it was dealt with the hybrid character of steady transonic flows.…”

Section: Introductionmentioning

confidence: 99%

Improvement of MacCormack's scheme for Burgers' equation. Using a finite element method

Lucchi

1980

Numerical Meth Engineering

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SUMMARYA brief description of the finite element method to be used is given. It is then shown how various finite difference schemes for the wave and Burgers' equations can be achieved, in particular the predictorcorrector method of MacCormack. By the finite element method a more efficient predictor-corrector scheme is also obtained. Furthermore, the study tends to show that terms of the general form a(uvw)/dx should be discretized by considering u, v and w as separate variables instead of taking the product uuw as a single variable as is often done with equations written in conservative (divergence law) form.

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Section: Introductionmentioning

confidence: 99%

Improvement of MacCormack's scheme for Burgers' equation. Using a finite element method

Lucchi

1980

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

Developments of the flux finite element method in two-dimensional potential flow problems

Cited by 1 publication

References 4 publications

Improvement of MacCormack's scheme for Burgers' equation. Using a finite element method

Improvement of MacCormack's scheme for Burgers' equation. Using a finite element method

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