## Comparison of Truncation Error of Finite-difference and Finite-volume Formulations of Convection Terms |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Common terms and phrases

according to Equation accurate approximation achieve adjacent appropriate assume average cancel the leading centered central-difference Computational conservative construct control-volume cell corresponding first-derivative course derivative discretization divided by h dxl model 2h Equation 32 error in Equation example expected face face-value difference fact factor FINITE-DIFFERENCE AND FINITE-VOLUME finite-difference formulation finite-difference model finite-volume formulation finite-volume model first-derivative convection term first-order formulation of Equation FORMULATIONS Consider FORMULATIONS OF CONVECTION fourth-order given gives grid-point hand higher-order identifying individual interpolate involves known leading term leading truncation error left and right literature mation means node-values Note numerical obtained Once parabola recent recompute refer represent representation result rewritten in finite-volume right-hand side scheme second-difference terms second-order accurate shows significant difference similar formula spatial SUMMARY Taylor expansions term in Equation third-difference third-order accurate treated true upwind node values viewed volume well-known whereas writes written