This article provides an analysis of high-order-accurate two-dimensional fluctuation splitting schemes for steady advection. Using Lagrangian elements, a residual distribution scheme is formulated and its properties are assessed. Distributing the residuals over the sub-triangles of each element allows one to obtain a well-posed scheme. It is also shown that the standard elemental approach is ill-posed, insofar as it produces an undetermined linear system. A steady scalar-advection problem is used to verify that the numerical schemes do obey the analysis.
|Titolo:||Analysis of high-order-accurate fluctuation splitting schemes for steady advection|
|Data di pubblicazione:||2010|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1080/10618562.2010.521651|
|Appare nelle tipologie:||1.1 Articolo in rivista|