## Abstract A class of higher order compact (HOC) schemes has been developed with weighted time discretization for the two‐dimensional unsteady convection–diffusion equation with variable convection coefficients. The schemes are second or lower order accurate in time depending on the choice of the
✦ LIBER ✦
An improved (9,5) higher order compact scheme for the transient two-dimensional convection–diffusion equation
✍ Scribed by Jiten C. Kalita; Puneet Chhabra
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 422 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0271-2091
- DOI
- 10.1002/fld.1133
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We present an explicit fourth-order compact ®nite dierence scheme for approximating the threedimensional convection±diusion equation with variable coecients. This 19-point formula is de®ned on a uniform cubic grid. We compare the advantages and implementation costs of the new scheme with the standar