On the Behaviour of Numerical Schemes in the Low Mach Number Regime: An Analysis of the Dissipation Mechanism of Upwind Flux Fun,Used

On the Behaviour of Numerical Schemes in the Low Mach Number Regime: An Analysis of the Dissipation Mechanism of Upwind Flux Fun,Used

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Computational fluid dynamics (CFD) was for a long time rigidly divided between simulating compressible and incompressible flows, but a variety of important flow phenomena like atmospheric flows are quasiincompressible with significant density varations. Because of the good properties of schemes for compressible flows, one asks the question: can these methods cope with low Mach numbers? For decades the answer was somewhat fuzzy: Yes, in principle, but with deteriorating results for decreasing Mach numbers. In this book we shed light on this phenomenon, showing that there are two sources of error: The fluxfunction and the grid cell geometry. In the first part we demonstrate that fluxfunctions fall into two classes: one resolves all characteristic waves of the Riemann problem while the other becomes more and more diffusive for lower Mach numbers. In the second part, we present an intriguing new result: firstorder upwind schemes can manage small Mach number flows but only if the grid is made up of triangular cells. Using graph theory we show that the number of degrees of freedom for the velocity field on cells with more than three edges is reduced to zero.

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We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.

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To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.

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This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).

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