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High-order methods for computational fluid dynamics
Stipcich, Goran
2012-04-20
Abstract
In the past two decades, the growing interest in the study of fluid flows involving discontinuities, such as shocks or high gradients, where a quadratic-convergent method may not provide a satisfactory solution, gave a notable impulse to the employment of high-order techniques.
The present dissertation comprises the analysis and numerical testing of two high-order methods. The first one, belonging
to the discontinuous finite-element class, is the discontinuous control-volume/finite-element method (DCVFEM) for the advection/
diffusion equation. The second method refers to the high-order finite-difference class, and is the mixed weighted non-oscillatory scheme (MWCS) for the solution of the compressible Euler equations. The methods are described from a formal point of view, a Fourier analysis is used to assess the
dispersion and dissipation errors, and numerical simulations are conducted to confirm the theoretical results.
Subjects
Insegnamento
Publisher
Università degli studi di Trieste
Languages
en
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