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A Study of Improved Limiter Formulations for Second-Order Finite Volume Schemes Applied to Unstructured Grids
Frederico Bolsoni Oliveira, João Luiz F. Azevedo
A general, compact way of achieving second-order in finite-volume numerical methods is to perform a MUSCL-like, piecewise linear reconstruction of flow properties at each cell inte…
Numerical Aspects of Gradient Reconstruction Schemes Applied to Complex Geometries
Frederico Bolsoni Oliveira, João Luiz F. Azevedo
This work primarily focuses on the study of three gradient reconstruction techniques applied to the calculation of viscous terms in a cell-centered, finite volume formulation for g…
Study of the Effects of Artificial Dissipation and Other Numerical Parameters on Shock Wave Resolution
Frederico Bolsoni Oliveira, João Luiz F. Azevedo
The effects induced by numerical schemes and mesh geometry on the solution of two-dimensional supersonic inviscid flows are investigated in the context of the compressible Euler eq…
Stability and Order of Accuracy Analysis of High-Order Schemes Formulated Using the Flux Reconstruction Approach
Frederico Bolsoni Oliveira, João Luiz F. Azevedo
A stability analysis is performed on high-order schemes formulated using the Flux Reconstruction (FR) approach. The one-dimensional advection model equation is used for the assessm…
On the Influence of Gradient Reconstruction Procedures Over the Accuracy of Finite Volume Based Schemes
Frederico Bolsoni Oliveira, João Luiz F. Azevedo
In the context of the cell centered finite volume approach, care must be taken when performing the reconstruction of property gradients at cell interfaces. The present work analyze…