Petrovic M.  

Local Double Logarithmic Reconstruction Technique

In one space dimension the conservation law takes the form as partial differential equation. From the integral form of conservation law the successful numerical approximation method known as the Finite Volume Method is derived. In order to achieve wanted order of accuracy of a certain finite volume method, several reconstruction methods are recommended MUSCLE, ENO (Essentially Non Oscillatory), WENO (Weighted ENO), LHR (Local Hyperbolic Reconstruction), LHHR (Local Harmonic Hyperbolic Reconstruction), LLR (Local Logarithmic Reconstruction), DLR (Double Local Reconstruction). Finally, there is LDLR (Local Double Logarithmic Reconstruction) which upgrades most of the mentioned reconstructions. LDLR holds third order of accuracy at local extremes, it is local variation bounded and it exists for all input data. In this paper LDLR is presented.