This paper discusses implementation strategies for second-order ยฎnite dierence discretizations of advection. Purely explicit and implicit methods both have disadvantages, and we consider semi-implicit schemes in which the ยฏux is split into a primary implicit part and a secondary explicit correction.
A method of investigating the stability and accuracy of difference schemes
โ Scribed by V.V. Pospelov
- Publisher
- Elsevier Science
- Year
- 1988
- Weight
- 560 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0041-5553
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๐ SIMILAR VOLUMES
Here, /luJ is chosen from the condition for mJ.nJ.mum III from the relation /lu.~-ea.. All the computations are then repeated for the improved control uHI(I). The iterations are peformed until the condition I~/l is satisfied. Since (17) holds only under the assumption of infinitely small variations
tbstract-
We describe a general method for modifying a given finite-difference scheme by representing the effects of the subgrid scales in terms of the resolved scales through enslaving. The new scheme is more accurate in certain parameter regimes while retaining the time-step stability of the original scheme