Development and analysis of exponential compact higher order schemes - Mishra, Nachiketa
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Finite difference methods are more suitable for the complex mathematical models, because of its simplicity. Especially, for the high Reynolds number flows and turbulence models, the exponential higher order compact methods are more suitable due to several reasons discussed here, one of them is the method is highly efficient to resolve the dissipation and dispersion error components. This work contains a class of higher order methods and provide new error analysis techniques using discrete Fourier transformations. These class of higher order methods are suitable for both steady and unsteady…mehr

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Produktbeschreibung
Finite difference methods are more suitable for the complex mathematical models, because of its simplicity. Especially, for the high Reynolds number flows and turbulence models, the exponential higher order compact methods are more suitable due to several reasons discussed here, one of them is the method is highly efficient to resolve the dissipation and dispersion error components. This work contains a class of higher order methods and provide new error analysis techniques using discrete Fourier transformations. These class of higher order methods are suitable for both steady and unsteady model problems and uniformly high accurate for convection dominated case.
Autorenporträt
Dr.Nachiketa Mishra, has received the Ph.D. degree in computational mathematics from IIT Madras, Chennai, India, in 2011. Then he has spent more than a year as an Assistant Professor at NIT Warangal, India. Further, he was post-doctoral researcher at different leading institutes, Czech Technical University at Prague, IISc and ICTS-TIFR at Bangalore