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Showing 1 to 20 of 104 for “"Conservation Laws"”.
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Conservation Laws and Electromagnetic Interactions
… between light and matter is governed by conservation laws that can manifest themselves as mechanical effects acting on both matter and light waves. This interaction permits remote, precise, and noninvasive manipulation and sensing at microscopic levels. In this dissertation, we …
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Local conservation laws in quantum integrable systems
… of the current operator, and calculable from the conservation laws of the system. In a particular system, previous attempts to calculate a known residual current from the conservation laws have failed. A numerical investigation is undertaken, and this disparity with the formal results is resolved …
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Solution of conservation laws via convergence space completion
… of the initial value problem for a scalar conservation law may fail to exist on the whole domain of definition of the problem. For this reason, suitable generalized solutions of such problems, known as weak solutions, have been considered and studied extensively. However, weak solutions are …
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High Resolution Time-Limiter Schemes for Conservation Laws
… the high resolution time-limiter schemes for conservation laws. These schemes are proposed (K.Duraisamy, J.D.Baeder, J-G Liu, 2003) to enhance the stability of high order implicit time marching when the time step is beyond the original TVD limit. The improved stability is realized by taking …
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The Existence of Conservation Laws on Analytic Manifolds
Made available in DSpace on 2014-12-09T22:17:27Z (GMT). No. of bitstreams: 1 6604306.pdf: 1969456 bytes, checksum: 5e95512fdbbbb4f7cb3fbc4e2e826b13 (MD5) Previous issue date: 1965
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Optimal and Feedback Control for Hyperbolic Conservation Laws
… hyperbolic partial differential equations for Conservation Laws motivated by traffic control problems. New traffic models for multi-directional flow in two dimensions are derived and their properties studied. Control models are proposed where the control variable is a multiplicative term in the …
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High Order Fluctuation Splitting Schemes for Hyperbolic Conservation Laws
… discretisation for the solution of steady conservation laws on unstructured meshes. This is an alternative approach to the two existing higher than second order fluctuation splitting schemes, which use submesh reconstruction (developed by Abgrall and Roe) and gradient recovery (developed by …
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Wildlife Trade in Morocco: Use, Conservation, Laws and Welfare
… for which they are traded and can highlight conservation, legal and welfare issues relating to this trade. Morocco, situated on the north-west coast of the African continent as little as eight miles from the Spanish mainland, is a hub for tourism in the region and a focal point for trade …
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Large Time Step and Overlapping Grids for Conservation Laws
… numerical solutions to hyperbolic systems of conservation laws. We also consider a method of overlapping spatial grids for which variants have proved to be an important consideration in large scale applications. In practice we often run into grids which have a fairly large range of cell sizes …
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Error estimates for numerical approximations to scalar conservation laws
… volume approximations of scalar hyperbolic conservation laws. <br>We introduce a new technique to prove a-priori error estimates which is based <br>on a duality argument and involves a consistency error of cell averages. <br>Next, we generalize finite volume schemes on staggered grids to …
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A Spacetime Discontinuous Galerkin Method for Hyperbolic Conservation Laws
The basic SDG approximation is a simple Bubnov-Galerkin projection that is not prone to global patterns of spurious oscillations. However, it does require stabilization to eliminate local overshoot and undershoot in the immediate vicinity of shocks and other discontinuous solution features. We …
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Conservation Laws in Elasticity of the J-Integral Type
Made available in DSpace on 2014-12-14T14:42:11Z (GMT). No. of bitstreams: 1 7708955.pdf: 1685857 bytes, checksum: 2c7d3713f12ca26385c2b7130ed37e0a (MD5) Previous issue date: 1976
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The Gregory--Laflamme Instability and Conservation Laws for Linearised Gravity
… The remainder of this thesis is concerned with conservation laws associated to the linearised vacuum Einstein equation. For later application, chapter 2 of this thesis contains a review of the double null gauge for the vacuum Einstein equations. In chapter 3, the `canonical energy' conservation …
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Entropy Stable Approximations of Nonlinear Conservation Laws and Related Fluid Equations
… stable approximations for a variety of nonlinear conservation laws, from the scalar Burgers equation to one dimensional Navier-Stokes and two dimensional shallow water equations. To this end, we construct a new family of second-order entropy stable difference schemes which retain the precise …
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Meta-learning and Enforcing Useful Conservation Laws in Sequential Prediction Problems
… of models where an unsupervised, meta-learned conservation loss is optimized inside the prediction function. This adapts the model weights to the particular input and imposes the approximate meta-learned conservation law in the predictions. We show, theoretically and experimentally, that …
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Sensitivity Calculations For Conservation Laws With Application To Discontinuous Fluid Flows
Flow sensitivities are the derivatives of the variables that describe the fluid flow with respect to the parameters that determine the fluid flow. Sensitivities are of interest in their own right and are also of use in flow optimization, control and design and in the calculation of perturbed flows. …
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Invariant-region-preserving discontinuous Galerkin methods for systems of hyperbolic conservation laws
… Galerkin (DG) schemes solving hyperbolic conservation law systems. In particular, our focus is on designing an IRP limiter to modify the numerical solution and identifying sufficient conditions for IRP DG schemes by extending Zhang and Shu's work on positivity-preserving schemes for …
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Analysis of a Spacetime Discontinuous Galerkin Method for Systems of Conservation Laws
… method for one-dimensional hyperbolic systems of conservation laws. The CSDG method is based on causal spacetime discretizations, and the Galerkin basis herewith consists of piecewise constant functions. The method can be used on layered as well as on unstructured spacetime grids, and is …
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An adjoint-based optimization method using the solution of gray-box conservation laws
… be formulated as an optimization constrained by conservation laws. Such optimization can be efficiently solved by the adjoint method, which computes the gradient of the objective to the design variables. Traditionally, the adjoint method has not been able to be implemented in "gray-box" …
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