Dr Edmund Chadwick's Outputs (7)

Assessing Performance of Morphology Particle Swarm Optimization (Morph-PSO) on Standard Benchmark Functions (2024)
Presentation / Conference Contribution

The search boundary is a critical aspect of optimization problems. Understanding the limits of the search boundary can help prevent solutions from exiting the search area and assist optimization algorithms in converging more rapidly. Typi-cally, opti... Read More about Assessing Performance of Morphology Particle Swarm Optimization (Morph-PSO) on Standard Benchmark Functions.

Existence and smoothness of the Navier-Stokes equation using a Boundary Integral representation (2023)
Presentation / Conference Contribution

In the current study we determine existence and smoothness of the Navier-Stokes equation as described in the Millennium problem [1]. This considers an exterior space-time domain where the incompressible Navier-Stokes equation and continuity equation... Read More about Existence and smoothness of the Navier-Stokes equation using a Boundary Integral representation.

A novel approach of testing NSlet representation using the classical Blasius flow past a semi-infinite flat plate (2023)
Presentation / Conference Contribution

Consider the new theory by Chadwick [1] that describe the incompressible Navier-Stokes equations by an integral distribution of Navier-Stokes fundamental solutions called NSlets. This paper tests this theory against the classical non-linear Blasius p... Read More about A novel approach of testing NSlet representation using the classical Blasius flow past a semi-infinite flat plate.

Using triple deck theory for flow past a finite flat plate as a benchmark to test the Boundary Integral NSlet representation (2023)
Presentation / Conference Contribution

Consider the new theory by Chadwick [1] that describe the incompressible Navier-Stokes equations by an integral distribution of Navier-Stokes fundamental solutions called NSlets. Let us test this against triple deck theory for flow past a finite flat... Read More about Using triple deck theory for flow past a finite flat plate as a benchmark to test the Boundary Integral NSlet representation.

BEM for low Reynolds number flow past a steady circular cylinder in an unbounded domain (2019)
Presentation / Conference Contribution

Consider a two dimensional steady low Reynolds number flow past a circular cylinder. The theoretical treatment in Chadwick [1] is detailed and elaborated. A Boundary Integral representation that matches an outer Oseen flow and inner Stokes flow is gi... Read More about BEM for low Reynolds number flow past a steady circular cylinder in an unbounded domain.

The leading order equivalence of Oseen’s and Imai’s representations (2019)
Presentation / Conference Contribution

Consider the far-field behind a body in a steady, two-dimensional uniform flow field. In the far-field the Oseen linearisation is valid, and in the far-field wake Imai’s asymptotic expansion is applicable. The fundamental solution Green’s function o... Read More about The leading order equivalence of Oseen’s and Imai’s representations.

A Green’s integral representation for the two-dimensional steady Navier-Stokes equation (2019)
Presentation / Conference Contribution

Consider steady uniform flow past a fixed, closed body in an unbounded domain governed
by the incompressible Navier-Stokes equations. A velocity representation is given as an integral
distribution of Green’s functions of the Navier-Stokes equations... Read More about A Green’s integral representation for the two-dimensional steady Navier-Stokes equation.