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One of our methods then reduces the problem of determining the existence of Hopf bifurcation fixed points to a first-order formula over the ordered field of the reals that can be solved using computational logic packages.
Even though the non-linear governing equations of such a reactor can be solved using computational fluid dynamics (CFD) techniques, it is difficult to convert the existing non-linear partial differential equations to linear dynamic models to facilitate its control system design.
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The flow fields of conventional Savonius and cup type turbines are solved using Computational Fluid Dynamics (CFD) in 3D domains.
The three-dimensional governing equations for the flow and heat transfer are solved using computational fluid dynamics (CFD) in conjunction with the thermoelectric characteristics of the TEG over a wide range of flow inlet velocities.
The resultant mixed-integer linear programming (MILP) problem can be solved using well established computational methods such as either branch-and-bound and branch-and-cut [ 25].
The problem can then be solved using numerical optimization algorithms and a computational fuel cell model.
Large-scale problems, with thousands of grains, are solved using modest computational resources.
The characteristic ambient flows, flow separation, and reattachment phenomenon in snow surface boundary layers are solved using the computational fluid dynamics (CFD) method.
A 2-D CFD model for inter-connected system of fuel and air reactors to simulate CLC process was solved using the computational software, FLUENT 6.3.26 and mesh for the above assembly was developed using GAMBIT 2.3.16.
Transport equations formulated under the PEMFC conditions were solved using the commercial computational fluid dynamics software Fluent® 6.0 with Gambit® 2.0 as pre-processor.
The continuity, momentum, and energy equations with mass and heat source/sink terms produced by chemical reactions are solved using a general computational fluid dynamic codes.
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