Comparison Study on the Performances of Finite Volume Method and Finite Difference Method

Table 4

Truncation error of FVM and FDM governing equations for vorticity-stream function algorithm of lid driven flow in a square cavity.

	Convection item	Diffusion item
FVM (format)	Φ𝑒−ΦΔ𝑋Δ𝑋^𝑤	1Δ𝑋𝜕Φ𝜕𝑥𝑒−1Δ𝑋𝜕Φ𝜕𝑥𝑤
FVM (TE)	−Δ𝑋^28Φ𝑃^′′′−Δ𝑋^4Φ128^𝑃(5)−⋯	−Δ𝑋^2Φ24^𝑃(4)−13Δ𝑋^4Φ5760^𝑃(6)−⋯
FDM (format)	𝜕Φ𝜕𝑋𝑃	𝜕^2Φ𝜕𝑋^2𝑃
FDM (TE)	−Δ𝑋^26Φ𝑃^′′′−Δ𝑋^4Φ120^𝑃(5)−⋯	−Δ𝑋^2Φ12^𝑃(4)−Δ𝑋^4Φ360^𝑃(6)−⋯