Trends in the Development of Machinery and Associated Technology ” TMT 2013 , Istanbul , Turkey , 10-11 September 2013 INFLUENCE OF NUMERICAL MESH PROPERTIES ON DISCRETIZATION ERROR
When a finite volume method is used to solve equations of mathematical physics there are several factors which could influence the discretization error. The standard techniques for determining the order of a discretization schemes assume that numerical meshes have some idealized properties. However, meshes typically used in numerical simulations are characterized with a significant aspect ratios and non-orthogonality of discretization elements. The paper presents a methodology which could be used to analyze the influence of certain mesh properties on the order of a finite volume discretization. The methodology is used to study the influence of mesh uniformity and orthogonality on the accuracy of the gradient approximations based on Gauss method, Gauss method with corrections and a least square method.