All Outputs (6)

Existence and smoothness of the Navier-Stokes equation using a Boundary Integral representation (2023)
Conference Proceeding
Chadwick, E. (in press). Existence and smoothness of the Navier-Stokes equation using a Boundary Integral representation.

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.

Using triple deck theory for flow past a finite flat plate as a benchmark to test the Boundary Integral NSlet representation (2023)
Conference Proceeding
Dang, B. C., & Chadwick, E. A. (in press). Using triple deck theory for flow past a finite flat plate as a benchmark to test the Boundary Integral NSlet representation.

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.

A novel approach of testing NSlet representation using the classical Blasius flow past a semi-infinite flat plate (2023)
Conference Proceeding
Adamu, H. A., Chadwick, E. A., Borresen, J., Dang, B. C., & Darghoth, R. (in press). A novel approach of testing NSlet representation using the classical Blasius flow past a semi-infinite flat plate.

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.

BEM for low Reynolds number flow past a steady circular cylinder in an unbounded domain (2019)
Conference Proceeding
Dang, B., & Chadwick, E. (2019). BEM for low Reynolds number flow past a steady circular cylinder in an unbounded domain. In C. Fresneda-Portillo (Ed.),

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.

A Green’s integral representation for the two-dimensional steady Navier-Stokes equation (2019)
Conference Proceeding
Chadwick, E. (2019). A Green’s integral representation for the two-dimensional steady Navier-Stokes equation. In . C. Fresneda-Portillo (Ed.), Proceedings of the 12th UK Conference on Boundary Integral Methods UKBIM12

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.

The leading order equivalence of Oseen’s and Imai’s representations (2019)
Conference Proceeding
Adamu, H., & Chadwick, E. The leading order equivalence of Oseen’s and Imai’s representations. In C. Fresneda-Portillo (Ed.), Proceedings of the 12th UK Conference on Boundary Integral Methods UKBIM12

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.