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In contrast to earlier methods, our approach breaks the global dependence of compact methods by using explicit finite-difference methods at block interfaces and is fully conservative.
The sharing of nodal information with surrounding elements saves the number of degrees of freedom compared to other compact methods at the same order.
Numerical solution of Navier Stokes equations with high-order compact methods has been limited by numerical instabilities caused by ill-resolved features of the flow.
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We also compare the present implicit compact method with explicit compact method known as the higher order compact (HOC) method.
We present a high-order compact method for large eddy simulation (LES) of compressible turbulent flows.
A less expensive and compact method is to use a laser diode and a computer generated hologram.
Moreover, the reflexivity of a state space X is not required by making full use of the compact method.
In a recent paper, Gupta has developed a fourth-order compact method for the numerical solution of Navier-Stokes equations.
The existence of a local weak solution and the uniqueness are proved by using the Faedo-Galerkin method and the weak compact method.
In [16], based on the energyestimates and the compact method, Ryu and Yagi considered the optimal control problemsof the adsorbate-induced phase transition model.
At the same time, the fourth-order compact method on quasi-variable meshes yields a satisfactory result as shown in Table 4.
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