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Showing 1 to 9 of 9 for “"Boussinesq Equations"”.
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Approximation and Control of the Boussinesq Equations with Application to Control of Energy Efficient Building Systems
… to locally exponentially stabilize the nonlinear Boussinesq Equations by applying Neumann/Robin type boundary control on a bounded and connected domain. The feedback controller is obtained by solving a Linear Quadratic Regulator problem for the linearized Boussinesq equations. Applying classical …
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Model Reduction of the Coupled Burgers Equation in Conservation Form
… The coupled Burgers equation is motivated by the Boussinesq equations that are often used to model the thermal-fluid dynamics of air in buildings. We apply Finite Element Methods to the coupled Burgers equation and conduct several numerical experiments. Based on these results, the Group Finite …
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A Numerical Method for Extended Boussinesq Shallow-Water Wave Equations
… such as the generation of harmonic waves. The Boussinesq equations are the simplest class of mathematical model that contain all these effects in a variable depth, shallow water environment. There are a variety of Boussinesq-type mathematical models and it is necessary to compare and contrast …
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ΜΑΘΗΜΑΤΙΚΗ ΠΕΡΙΓΡΑΦΗ ΤΗΣ ΔΙΑΔΟΣΗΣ ΤΩΝ ΜΗ ΓΡΑΜΜΙΚΩΝ ΔΙΑΣΠΕΙΡΟΜΕΝΩΝ ΚΥΜΑΤΙΣΩΝ ΣΤΟΝ ΠΑΡΑΚΤΙΟ ΧΩΡΟ
A NUMERICAL SOLUTION OF BOUSSINESQ TYPE OF EQUATIONS IS PROPOSED, BASED ON A CENTRAL FINITE DIFFERENCES SCHEME, WITH THIRD ORDER ACCURACY. THE CORRECTION TERMS, FROM TRUNCATION ERRORS, ARE INCLUDED IN THE F.D. INTEGRATION. BY INTRODUCINGA DIFFUSION TERM, TO SIMULATE TURBULENCE, WE PROPOSE AN …
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A study of certain multi-dimensional partial differential equations using Lie symmetry analysis
… nonlinear multi-dimensional partial differential equations which are mathematical models of various physical phenomena of the real world. Closed-form solutions and conservation laws are obtained for such equations using various methods. The multi-dimensional partial differential equations that are …
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Generation of Very Long Waves in Laboratory for Tsunamis Research
… method is used to solve the governing equations, coupling with a computational domain mapping technique to estimate the moving shoreline. By comparing to the experimental measurements, the numerical models are verified and able to approximate the resulting waves in the wave tank. …
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Parameter Dependent Model Reduction for Complex Fluid Flows
… of parameter dependent partial differential equations (PDEs) is usually intractable. Surrogate models are used to provide an approximation to the high fidelity models while being computationally cheaper to evaluate. Typically, for time dependent nonlinear problems a reduced order model is …
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A theoretical study of the sea breeze
The linearized Boussinesq equations with rotation, viscosity, conduction, and a mean stratification are used to model the sea breeze in two dimensions. the motion is forced by a prescribed surface temperature function. The linear model produces a sea breeze with realistic velocities and spatial …
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Gaining New Insights into Spatiotemporal Chaos with Numerics
… using large-scale numerical simulations of the Boussinesq equations and the corresponding tangent space equations. We performed a careful study analyzing the impact of variations in the domain size, Rayleigh number, and Prandtl number on the system dynamics and fractal dimension. In addition, we …