| source Universitetet i Oslo (125) |
level Ph.D. level course (X) |
department |
Asymptotic expansions. Approximate solutions of linear differential equations. Asymptotic expansion of integrals. Perturbation methods. Matched asymptotic expansions. The WKB method. Multiple scales expansion.
Score: 9.04526 Details | Listing | Web page
Flow at low Reynolds number: Stokes flow, Oseens solution. Flow at large Reynolds number: Vortex dynamics, stagnation flow, boundary layer flow, non-steady boundary layers, separation and vortex shedding. Forces on bodies due to the flow, drag coefficients. Free shear layers, jets and wakes. Stability, transition to turbulence, turbulent flow. Reynolds averaged equations, turbulent stresses, turbulent diffusivity, mixing length and the k-epsilon model, law of the wall, correlations and spectra.
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Sound waves, discontinuities, shock waves, subsonic, transsonic and supersonic flow, flow in pipes at large velocities, one-dimensional flow, hydraulic jump analogy, stationary shock waves, normal and skew shock, Prandtl-Meyer expansion.
Score: 9.04526 Details | Listing | Web page
Basic concepts and mathematical methods in wave theory. Dispersion, phase and group velocity, wave energy, Fourier integrals, stationary phase, the WKB method, ray theory. Application on surface waves, wave resistance, oscillations in closed and open basins, internal waves, Kelvin waves. Nonlinear effects, Stokes waves, solitons, breaking waves.
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The course gives an introduction to turbulent shear flows and a specialization within turbulence modelling. Fundamental aspects of turbulence and its coupling to single-point models are emphasized. The course gives an important basis for the use and development of Computational Fluid Dynamics (CFD) methods within research and within a broad spectrum of applications (e.g. meteorology, oceanography, process and energy and flow physics). The course is recommended for specialization in fluid mechanics at the master level.
Score: 9.04526 Details | Listing | Web page
Turbulence modeling in engineering fluid dynamics: Reynolds' averaged equations and the closure problem, Boussinesq's model for the Reynolds stresses and eddy-viscosity. k-epsilon, k-omega and k-tau models for the eddy-viscosity. The differential equations for the kinetic energy k, the dissipation rate (epsilon) and the time scale (tau) of turbulence. Discussion of closure parameters and boundary conditions. Applications to simple flow problems.
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The Orr-Sommerfeld equation, stability of linear flow, stability criteria for inertial stability, stability of stratified flows, Couette flow, Poiseuille flow and boundary layer flow, stability of flow between coaxial rotating cylinders, stability criteria for the onset of thermal convection, non-linear effects, the Landau equation, transition to turbulence.
Score: 9.04526 Details | Listing | Web page
Potential theory, forces on bodies in currents, added mass. Waves and wave forces, wave energy, ship waves, nonlinear effects, forces on bodies in regular and irregular waves.
Score: 9.04526 Details | Listing | Web page
Gas/liquid, liquid/liquid and liquid/solid particle flow systems. General conservation laws, interfacial conditions and constitutive relations. Multiphase flows in pipes, flow regime maps, concentration distributions, pressure drop, calculation methods, stability problems.
Score: 9.04526 Details | Listing | Web page
Finite volume methods, volume-of-fluid method for the dynamics of free boundaries pressure-velocity coupling, energy conservation and balances, turbulence statistics in fully developed channel flow at low Reynolds number, large eddy simulation modeling and subgrid closure, level set methods.
Score: 9.04526 Details | Listing | Web page
To provide a theoretical base for analysis and evaluation of structures subjected to dynamic loading.
Score: 9.04526 Details | Listing | Web page
Linear elastic theory of unstable fracture of cracked bodies. Elastic-plastic theory of unstable fracture of cracked bodies. Fatigue crack growth models. Experimental methods for material characterisation. Method formulations for practical applications.
Score: 9.04526 Details | Listing | Web page
Applications and production methods for composite materials. Analysis of fibre composites, material properties for composites with continuous, unidirectional fibres and with short fibres. Constitutive relationships for orthotropic materials. Laminate theory. Analysis of orthotropic plates and sandwich beams and plates.
Score: 9.04526 Details | Listing | Web page
Practical and theoretical basis for the finite method. Derivation of general stiffness and load terms for trusses, beams, membranes, plates, shells, axisymmetric and solid structures. System relations, boundary conditions and linear constraints. Calculations of derived quantities such as strains, stresses and reaction forces. Superelement and subdomain techniques. Applications.
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Practical use of the element method as a tool for analysis of different structures. Extending the theoretical basis of the method when it comes to plate and shell structures, dynamic analysis, linearized buckling and plasticity.
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The course will provide an introduction to measurement methods relevant to experimental fluid mechanics. Knowledge of these topics will also be of use for fluid mechanics students involved in modelling. The course will provide an overview of analysis techniques commonly used in experimental work. Weekly exercises will provide reinforcement of the topics discussed in class. A variety of measurement methods and techniques will be presented in order to provide knowledge and understanding of common measurement methods used in research. Lab classes will provide the student with opportunities to apply the topics discussed in class to actual data. Literature which is relevant to the measurement techniques will be discussed in class as well.
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The topic area comprise basic concepts in research methods in medicine and health sciences such as the research process, formulating study objectives, assessing researchability, postulating hypotheses, project planning, data collection and analysis, presentation and publication. The course also comprises core concepts and challenges within ethics and philosophy of science.
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After the introductory course, the participants should:
Score: 9.04526 Details | Listing | Web page
The course is intended to give a conceptual understanding of the basic techniques available for analysing and interpreting epidemiological data on infectious diseases. The course should provide the participants the background for reading and interpreting modelling papers.
Score: 9.04526 Details | Listing | Web page
For students interested in the nervous system, this course in neurophysiology covers the basic principles of neuron signalling and interactions that underlie brain function, spanning from the function of individual neurons to the function of neuronal circuits that produce behaviour.
Score: 9.04526 Details | Listing | Web page
The course aims to give participants a basic knowledge of mechanisms of signal transduction and the significance of signal transduction in physiology and pathophysiology.
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This course gives an introduction to systematic literature search and how to use Reference Manager.
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Systems biology is an emerging field, which heavily depends upon collaboration between biologists and mathematicians. The genome has offered biologists new possibilities to study genetic processes on a genomic scale, and to achieve not only understanding of the function of individual molecules but also to achieve quantitative understanding of the regulation and interaction of genes and molecules at the systems level. This development requires researchers with combined biological, mathematical and computational skills. However, few research students have such combined skills as yet.
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Disease, illness healing and death are universal in human experience. All cultures, therefore, have medical systems. Weather you participate in that medical system as patient or a healer, there is a real value in understanding the big picture of how and why that system works. Medical anthropology is concerned with the relationship between culture / society and health. It entails learning about the multiple causes of disease, multiple understandings of the body and the cultural variation in healing practises.
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A comprehensive introduction to the process of disease measurement, epidemiological concepts and how to search the literature for evidence will be elaborated. Study design in medical research with a focus on intervention strategies by means of controlled clinical trial, and scientific method, and also follow-up studies with health education intervention design for process and outcome evaluation will be addressed in different countries context (developing vs developed). Randomized clinical trial and methods of randomization including sample size determination will be included as important components of research design. Mathematical models for the analysis of cohort and interventional outcome studies will be covered. C ontrol of confounding and bias will be discussed. Methods for measuring the health benefit in an interventional study using concepts of Attributable risk analysis will be introduces and applied in relevant examples.
Score: 9.04526 Details | Listing | Web page