Sentence examples for accuracy schemes from inspiring English sources

Direct numerical simulation (DNS) of complex flows require solving the problem on parallel machines using high accuracy schemes.

Following the methodologies in Sengupta et al. [T.K. Sengupta, S.K. Sircar, A. Dipankar, High accuracy schemes for DNS and acoustics, J. Sci. Comput.

The paper analyses by Taylor series the several fifth-order of accuracy schemes for hyperbolic conservation laws: the classical WENOJS scheme Jiang and Shu (1996), the WENOM scheme Henrick et al.

We propose an alternative procedure by extending the Butcher Tableau to overcome this specific difficulty and achieve fourth-, sixth- or eighth-order of accuracy schemes in space and time.

It has been shown here, using the method of analyzing non-periodic problems in Sengupta et al. (2003), that compact and other high accuracy schemes display strong directionality of the algorithm and such methods cannot be used for direct simulation of the physical flow.

Furthermore, the theoretical statements for the solution of the first and second order of accuracy schemes for one-dimensional elliptic-parabolic differential equation are supported by the results of a numerical example.

Furthermore, thanks to the high accuracy scheme, the evolution of the unstable solitary wave of the GRLW equation with (p ge5) also be simulated, as established in [19].

Hence, the third order and fourth order of the accuracy difference schemes are more accurate than the second order of the accuracy difference schemes (ADS).

We consider second-order accuracy MUSCL schemes to approximate the solutions of hyperbolic system of conservation laws.

As can be seen from Tables 1-3, thirdhird and fourth orders of the accuracy difference schemes are more accurate than the second order of the accuracy difference scheme.

First order of accuracy difference schemes for the approximate solutions of the problem were presented.