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Showing 1 to 15 of 15 for “"hyperbolic system"”.
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Layer-averaged modeling of turbidity currents with a finite element method
… finite element technique has been applied to the hyperbolic system of partial differential equations for a turbidity current flowing in deep ambient water. Since the standard Galerkin method yields spurious oscillations when applied to convection-dominated flows, the dissipative-Galerkin technique …
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Existence of smooth shock profiles for hyperbolic systems with relaxation
… The existence results apply if the reduced system is strictly hyperbolic and if the underlying hyperbolic system with relaxation fulfills easy-to-check sructural conditions. In general, the ODE system for the relaxation shock profile has a singular right-hand-side. The structural conditions …
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A high-order Legendre-WENO numerical scheme for the non-conservative kernel density equations modeling particle-laden flows
… density equations form a non-conservative, hyperbolic system of PDE’s. The basic numerical scheme is a Roe method that has been generalized to non-conservative systems. The kernel density equations can become weakly hyperbolic; in this case an asymptotic expansion is introduced and singular …
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Horizons, hyperbolic systems, and inner boundary conditions in numerical relativity
… gravitational wave. We discuss both standard and hyperbolic formulations of the Einstein equations and how these are amenable to numerical treatment with modern parallel and adaptive computational techniques. In the course of this discussion, we present a three-dimensional implementation of the …
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Performance of Hyperbolic Position Location Techniques for Code Division Multiple Access
… cellular telephone, Personal Communication System (PCS) and Specialized Mobile Radio (SMR) licensees to provide two dimensional automatic location information (ALI) for a user requesting E-911 service. These wireless service providers will need to utilize effective position location (PL) …
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Characterization of nonlinearity parameters in an elastic material with quadratic nonlinearity with a complex wave field
… obtained by first formulating the problem as a hyperbolic system of conservation laws, which is then solved numerically using a semi-discrete central scheme. The numerical method is implemented using the package CentPack. In the one-dimensional cases, it is shown that the analytical and …
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The Navier-Stokes equations for elliptic quasicomplexes
… Navier-Stokes equations constitute a parabolic system with a nonlinear term which makes sense only for one-forms. A simpler model of dynamics of incompressible viscous fluid is given by Burgers' equation. This work is aimed at the study of invariant structure of the Navier-Stokes equations which …
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Partial Differential Equations of Thin Liquid Films: Analysis and Numerical Simulation
… ODE. In the second problem, we use theory from hyperbolic conservation laws to map classical shocks, nonclassical shock waves (known as undercompressive shocks) and rarefactions that arise as solutions to the Cauchy problem. To create such a 'Riemann map', we employ a kinetic relation that …
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Numerical Methods for Compressible Multi-phase flows with Surface Tension
… to compute the solutions of the governing PDE system, in which the results are also compared with time-accurate global time stepping. Second, we propose a novel high order accurate numerical method for the solution of the seven equation Baer-Nunziato model based on ADER discontinuous Galerkin …
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Theoretical and numerical aspects of advection-pressure splitting for 1D blood flow models
… and numerically, splitting strategies for a hyperbolic system of one-dimensional (1D) blood flow equations with a passive scalar transport equation. Our analysis involves a two-step framework that includes splitting at the level of partial differential equations (PDEs) and numerical methods …
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The thermocline and current structure in subtropical/subpolar basins
… basins. The ideal fluid thermocline equation system Is a nonlinear, non-strict hyperbolic system. In an Addendum to Chapter III the mathematical properties of this equation system are studied and a proper way of formulating boundary value problems is discussed. Although the equations are not …
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Mathematical Modeling, Analysis and Control of Some Infectious Diseases
… due to the position occupied within the aquatic system, is incorporated in the model. Instead, chapter 3 is concerned with proposing a new model for host-vector diseases. The modeling carried out takes into account the possible vertical transmission in the vector population, in addition to the …
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Inestabilidad oscilatoria y sus aplicaciones en mecánica de fluidos y combustión
… of the oscillatory instability is analyzed, in systems whose size in one spatial direction is large as compared with the characteristic wavelength of the instability . This instability is one of the generic bifurcations form steady states to more complex behavior; it involves a temporal …
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Well-posedness results for a class of complex flow problems in the high Weissenberg number limit
… subjects, the Euler equations and the Prandtl's system. The consideration of infinite Reynolds number reduces the Navier-Stokes equations to the Euler equations, both of which are dealing with the entire flow region. Prandtl's system consists of the governing equations of the boundary layer, a …
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Solving the system of Radiation Magnetohydrodynamics : for solar physical simulations in 3d
… space dimensions. Among other applications this system is used to model the plasma in the solar convection zone and in the solar photosphere. It is a non--linear system of balance laws derived from the Euler equations of gas dynamics and the Maxwell equations; the energy transport through …