Praveen, C (2004) A positive meshless method for hyperbolic equations. 2004-FM-16.
A positive meshless method is constructed using least squares approximation for derivatives, upwinding and artificial dissipation. Godunov-type ideas and limiting procedures from finite-volume methods can be used in the present scheme. The method is applied to inviscid Euler equations in 2-D, and discontinuous flows are computed which show good oscillation-free solutions. Also, two new approaches to deriving a meshless finite difference formula are proposed which will avoid the need for using artificial dissipation terms.
|Item Type:||Departmental Technical Report|
|Keywords:||Meshless methods;positive scheme;least squares;Euler equations|
|Department/Centre:||Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)|
|Date Deposited:||11 Jan 2007|
|Last Modified:||19 Sep 2010 04:20|
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