## Abstract This paper presents a new highβorder approach to the numerical solution of the incompressible Stokes and NavierβStokes equations. The class of schemes developed is based upon a velocityβpressureβpressure gradient formulation, which allows: (i) highβorder finite difference stencils to be
Conservative High-Order Finite-Difference Schemes for Low-Mach Number Flows
β Scribed by F. Nicoud
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 294 KB
- Volume
- 158
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Conservation properties of the mass, momentum, and kinetic energy equations for incompressible flow are specified as analytical requirements for a proper set of discrete equations. Existing finite difference schemes in regular and staggered grid systems are checked for violations of the conservation
A second-order-accurate finite difference discretization of the incompressible Navier-Stokes is presented that discretely conserves mass, momentum, and kinetic energy (in the inviscid limit) in space and time. The method is thus completely free of numerical dissipation and potentially well suited to
Numerical simulation of turbulent flows (DNS or LES) requires numerical methods that are both stable and free of numerical dissipation. One way to achieve this is to enforce additional constraints, such as discrete conservation of mass, momentum, and kinetic energy. The objective of this work is to