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Showing 1 to 20 of 38 for “"steady state solution"”.

  1. A Numerical Study of Burgers' Equation With Robin Boundary Conditions

    This thesis examines the numerical solution to Burgers' equation on a finite spatial domain with various boundary conditions. We first conduct experiments to confirm the numerical solutions observed by other researchers for Neumann boundary conditions. Then we consider the case where the …

    vt Repository record for A Numerical Study of Burgers' Equation With Robin Boundary Conditions (opens in a new tab)

  2. Dynamic simulation of chemical processes

    … oriented simulation package which allows solution of dynamic and steady state equations. The steady state can be used to initialise the dynamic simulation. A robust non linear algebraic equation solver has been implemented for steady state solution. This has increased the general …

    aston Repository record for Dynamic simulation of chemical processes (opens in a new tab)

  3. Essays on Economic *Growth

    … into the R&D-based model of Romer (1990). The steady-state solution for the decentralized economy follows a growth-accounting exercise which provides quantitative information regarding the sources of growth. The model is calibrated to data and parameter estimates from various studies. It turns …

    uiuc Repository record for Essays on Economic *Growth (opens in a new tab)

  4. Time-domain based steady-state initialization for the EMTP

    The existing steady-state initialization algorithm in the electromagnetic transients program EMTP is based on a frequency-domain admittance method. This yields a simple, efficient solution for linear, lumped element networks. However, the basic algorithm cannot be easily extended to handle …

    ubc Repository record for Time-domain based steady-state initialization for the EMTP (opens in a new tab)

  5. Numerical simulation of primary petroleum migration

    … scheme, and the form of the numerical solution is compared to a steady-state solution. The effects of two non-dimensional parameters are investigated. Based on these investigations, the compressibility of the fluid and the rate at which oil is generated appear to have significant roles …

    mit Repository record for Numerical simulation of primary petroleum migration (opens in a new tab)

  6. A preconditioned Newton-Krylov method for computing steady-state pulse solutions of mode-locked lasers

    … matrix-implicit Newton-Krylov solver. Solutions are obtained at least an order of magnitude faster than with dynamic simulation, the standard method. Our method is demonstrated experimentally on a one-dimensional temporal model of an eight femtosecond mode-locked laser operating in the …

    mit Repository record for A preconditioned Newton-Krylov method for computing steady-state pulse solutions of mode-locked lasers (opens in a new tab)

  7. Elongational Flows in Polymer Processing

    … prove existence, uniqueness, and regularity of solutions. Our solution strategy will be developed in detail for the viscous case. For non-Newtonian and isothermal flows, we shall outline the general ideas. Our solution technique consists of energy estimates and fixed-point arguments in …

    vt Repository record for Elongational Flows in Polymer Processing (opens in a new tab)

  8. Low Phase Noise Oscillator Design. A Design Methodology for Improving Performance: Theoretical Analysis, CAD Simulations, and Prototype Building

    … techniques for estimating the periodic steady-state solution, perturbation-projection vector, and phase noise/timing jitter for oscillators are presented. These techniques enable a quantitative estimate of the oscillator phase noise/timing jitter performance from its constituent circuit …

    uiuc Repository record for Low Phase Noise Oscillator Design. A Design Methodology for Improving Performance: Theoretical Analysis, CAD Simulations, and Prototype Building (opens in a new tab)

  9. Hybrid atomistic-continuum formulations for gaseous flows

    … test problems. For the case of incompressible steady gaseous flows a hybrid formulation is developed using a finite element method for the continuum subdomain and the direct simulation Monte Carlo (DSMC) method for the atomistic subdomain. The Schwarz alternating method is used to couple both …

    mit Repository record for Hybrid atomistic-continuum formulations for gaseous flows (opens in a new tab)

  10. Methods for engineering sub-two-cycle mode-locked lasers

    … presenting a method to efficiently solve for the steady-state solution of a nonlinear cavity, suitable for simulating a solid-state femtosecond laser. The algorithm directly solves the periodic boundary value problem by using a preconditioned Krylov-Newton shooting solver. The method can be …

    mit Repository record for Methods for engineering sub-two-cycle mode-locked lasers (opens in a new tab)

  11. Preconditioned conjugate gradient methods for the Navier-Stokes equations

    … formed at each time-integration step of the unsteady, two-dimensional, compressible Navier-Stokes equations of fluid flow. The Navier-Stokes equations are cast in an implicit, upwind finite-volume, flux split formulation. Preconditioning techniques are employed with the Conjugate Gradient like …

    vt Repository record for Preconditioned conjugate gradient methods for the Navier-Stokes equations (opens in a new tab)

  12. Assessment of the Thermal Improvements Awarded by Horseshoe Vortex Elimination on a Turbine Stator Blade in Computational Fluid Dynamics and Conjugate Heat Transfer

    … viscous and turbulent. The analysis looks at the steady-state solution only. The meshing operation and the calculations are made using NASA-developed 3D codes: TCGRID and Swift. The author concludes that the drop in blade surface temperature reaches 109.6 K in a designated region of the tip. Many …

    embry-riddle Repository record for Assessment of the Thermal Improvements Awarded by Horseshoe Vortex Elimination on a Turbine Stator Blade in Computational Fluid Dynamics and Conjugate Heat Transfer (opens in a new tab)

  13. A 2 1/2 dimensional thermohaline circulation model with boundary mixing

    … are derived and numerically solved to obtain steady state solution. The basic circulation features are revealed in our dynamical model. An equtorially asymmetric meridional circulation is observed due to small perturbation at the surface temperature in the high latitude. The density …

    woods-hole Repository record for A 2 1/2 dimensional thermohaline circulation model with boundary mixing (opens in a new tab)

  14. On the rolling motion of viscous fluid on a rigid surface

    … showed that there exists a non-singular local solution in the vicinity of the contact line for any capillary number. A simplified asymptotic model is used here to find a global solution with a 180 contact angle. Also the effects of insoluble surfactant are checked and numerical results show …

    njit Repository record for On the rolling motion of viscous fluid on a rigid surface (opens in a new tab)

  15. Nonlinear hydrodynamic instability and turbulence in eccentric astrophysical discs

    … which maintains the stratified and oscillatory steady state solution to machine precision. This implementation is employed to study the nonlinear outcome of this parametric instability in eccentric discs with vertical structure. Stratification is found to constrain the perturbation energy near …

    cambridge Repository record for Nonlinear hydrodynamic instability and turbulence in eccentric astrophysical discs (opens in a new tab)

  16. Distributed analysis of Markov chains

    … concurrent systems. The systems in question are state transition systems from which Markov chains can be derived. Both phases of the analysis pipeline are considered: state space generation from a state transition model to form the Markov chain and finding performance information by solving the …

    cape-town Repository record for Distributed analysis of Markov chains (opens in a new tab)

  17. Transient oxygen consumption rate measurements with the BDT̳M̳ oxygen biosensor system

    … the general species transport equations for a steady-state solution has not accurately converted pO₂ measurements to OCR. Furthermore, the time to reach steady-state is prohibitively long (at least 5 hr). Transient OBS experiments have been conducted and the rate of p02 change has been shown to …

    mit Repository record for Transient oxygen consumption rate measurements with the BDT̳M̳ oxygen biosensor system (opens in a new tab)

  18. A 2 1/2 dimensional thermohaline circulation model with boundary mixing

    … are derived and numerically solved to obtain steady state solution. The basic circulation features are revealed in our dynamical model. An equtorially asymmetric meridional circulation is observed due to small perturbation at the surface temperature in the high latitude. The density …

    mit Repository record for A 2 1/2 dimensional thermohaline circulation model with boundary mixing (opens in a new tab)

  19. Shape and Structural Optimization of Flapping Wings

    … Zimmerman method to describe the wing. A quasi-steady aerodynamics model is used to calculate the thrust and input power required during the flapping cycle. An assumed inflow model is derived based on lifting-line theory and is used to better approximate the effects of the induced drag on the …

    vt Repository record for Shape and Structural Optimization of Flapping Wings (opens in a new tab)

  20. Analysis of a Rotary Ultrasonic Motor for Application in Force-Feel Systems

    … model to show the differences in the transient solution, agreement in the steady state solution, and above all that it is an efficient tool for approximating a motor's steady state response as a function of varying the motor parameters. In addition, the reduced model provides the means of …

    vt Repository record for Analysis of a Rotary Ultrasonic Motor for Application in Force-Feel Systems (opens in a new tab)

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