Primitive equations

A Mariners Guide to Numerical Weather Prediction in the age of ‘Big Data’

Published in Adam Weintrit, Marine Navigation, 2017

Once the analysis is complete the primitive equations are applied and the atmosphere allowed to evolve. At discrete intervals a snapshot of the conditions is output as a prognosis or forecast valid at that time. Thus, NWP results in the creation of databases of parameters such as pressure, temperature, wind speed and direction, on a 3 dimensional spatial grid with time as a 4th dimension.

Computational analysis of the transient mixed convective flow of nanofluid in the plume regions

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Journal Information

Published in Waves in Random and Complex Media, 2022

Muhammad Ashraf, Anwar Khan, Zia Ullah

The governing dimensionless steady and unsteady equations are solved using the implicit FDM approach, which is exceedingly efficient. The connected non-dimensional model is translated into a primitive form using the primitive-variable formulation, resulting in a smooth algorithm. Applying central difference along the y-axis and backward difference along the x-axis yields numerical solutions for converted primitive equations. We have an algebraic equation system with unknown factors and . These variables contain coefficients in a tri-diagonal matrix, and the numerical solutions to these unknown factors are found using the Gaussian elimination technique, as provided in references [33] and [21,22,23]. where

Primitive equations

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A Mariners Guide to Numerical Weather Prediction in the age of ‘Big Data’

Computational analysis of the transient mixed convective flow of nanofluid in the plume regions