The minimal time routing of vessels over the oceans leads to a variational problem with fixed end... more The minimal time routing of vessels over the oceans leads to a variational problem with fixed end points, in which the velocity field is anisotropic and changes in time. The grid refinement technique, an iterative optimal path algorithm, is extended so that it can be applied to this class of optimal problem, and the results obtained for actual velocity fields indicate a significant improvement over previous methods. The relevant convergence criteria are described in relation to measured velocity fields and ship characteristics, and future developments in meteorological naviagation are discussed.
... Cracking Unit Josh M. Whitcombe, Igor E. Agranovski, Roger D. Braddock* ... Identification of... more ... Cracking Unit Josh M. Whitcombe, Igor E. Agranovski, Roger D. Braddock* ... Identification of Emitted Catalyst Iron, nickel, vanadium and molybdenum were selected as indicator metals to identify how metal contamination fluctuates in the flue gas emissions. ...
The study of the time dependent homogeneous movement of water and solute in one space dimension l... more The study of the time dependent homogeneous movement of water and solute in one space dimension leads to finding solutions of two coupled partial differential equations. Under a similarity transform, integral solutions were first derived by Smiles et al [1972] for both the hydraulic diffusivity, D, and the hydrodynamic dispersion coefficient, D_h being arbitrary functions of the water content, θ. In this presentation, we generalise these solutions by allowing the dispersion coefficient to include both temporal and spatial scale dependencies, along with θ, to describe flow in heterogeneous media. In addition, by using the Brutsaert [1976] similarity solution for the water equation, (θ - θ_i)/(θ_s - θ_i)=(1-ϕ/ϕ_f)1/λ, where ϕ=x/√{t}, ϕ_f is the wetting front, first integral solutions for the solute equation are found for all integer values of λ. In the special cases of λ=1 or 2, fully explicit solutions can be obtained. For physically realistic values of λ, ie 3-8, the second integration can be done by simple numerical techniques. Solution profiles are given for representative values of λ.
The minimal time routing of vessels over the oceans leads to a variational problem with fixed end... more The minimal time routing of vessels over the oceans leads to a variational problem with fixed end points, in which the velocity field is anisotropic and changes in time. The grid refinement technique, an iterative optimal path algorithm, is extended so that it can be applied to this class of optimal problem, and the results obtained for actual velocity fields indicate a significant improvement over previous methods. The relevant convergence criteria are described in relation to measured velocity fields and ship characteristics, and future developments in meteorological naviagation are discussed.
... Cracking Unit Josh M. Whitcombe, Igor E. Agranovski, Roger D. Braddock* ... Identification of... more ... Cracking Unit Josh M. Whitcombe, Igor E. Agranovski, Roger D. Braddock* ... Identification of Emitted Catalyst Iron, nickel, vanadium and molybdenum were selected as indicator metals to identify how metal contamination fluctuates in the flue gas emissions. ...
The study of the time dependent homogeneous movement of water and solute in one space dimension l... more The study of the time dependent homogeneous movement of water and solute in one space dimension leads to finding solutions of two coupled partial differential equations. Under a similarity transform, integral solutions were first derived by Smiles et al [1972] for both the hydraulic diffusivity, D, and the hydrodynamic dispersion coefficient, D_h being arbitrary functions of the water content, θ. In this presentation, we generalise these solutions by allowing the dispersion coefficient to include both temporal and spatial scale dependencies, along with θ, to describe flow in heterogeneous media. In addition, by using the Brutsaert [1976] similarity solution for the water equation, (θ - θ_i)/(θ_s - θ_i)=(1-ϕ/ϕ_f)1/λ, where ϕ=x/√{t}, ϕ_f is the wetting front, first integral solutions for the solute equation are found for all integer values of λ. In the special cases of λ=1 or 2, fully explicit solutions can be obtained. For physically realistic values of λ, ie 3-8, the second integration can be done by simple numerical techniques. Solution profiles are given for representative values of λ.
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Papers by Roger Braddock