Error Freed CFD Mathematics by A. J. Baker, James D. Freels (.ePUB)+

File Size: 73 MB

Error Freed CFD Mathematics: Stability, Monotonicity, Finite Element Theory by A. J. Baker, James D. Freels
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Overview: Error Freed CFD Mathematics analytically derives and validates nonlinear continuum calculus alterations to Navier-Stokes partial differential equation systems that completely annihilate the legacy CFD theory/practice intrinsic error mechanisms that persist to compromise physics of fluids prediction fidelity. Weak formulation continuous Galerkin finite element (FE) basis theorization identifies cubically nonlinear continuum calculus tensor product functionals that totally eliminate the need for code phake physics stabilization. also stabilized shock capture. Resultant is classic tri-diagonal stencil equivalentgeneration of strictly monotonediscrete approximations that are 4th order accurate in physical space, wave number space and implicit time on any mesh. Summarily, matrix differential calculus identifies all nonlinear contributions to the quadratic convergent Newton iteration algorithm to eliminate generation of non-converged solutions.
Genre: Non-Fiction > Educational

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