Author: Joseph P. Gerrity
Publisher:
ISBN:
Category : Differential equations, Nonlinear
Languages : en
Pages : 92
Book Description
"A diagnostic study of the mechanism responsible for producing high wavenumber oscillations (noise)in the numerical solution of the nonlinear equations governing a free surface, barotropic, atmospheric model is reported. The oscillations are identified as predominantly the result of the lattice of the difference equations and the boundary conditions employed to specified the solution. The analytic methods employed involved the use of space and time sections of the numerical solutions to provide a set of hypotheses. These are tested utilizing a one-dimensional linear analog of the model equations. The solution of the linear equations is obtained analytically, by the method of characteristics, and numerically. Several possibilities for removing the noise are suggested. Some improvement is demonstrated when the suggested methods are used in the linear one-dimensional analog.
Noise Analysis of a Limited-area Fine-mesh Prediction Model
Author: Joseph P. Gerrity
Publisher:
ISBN:
Category : Differential equations, Nonlinear
Languages : en
Pages : 92
Book Description
"A diagnostic study of the mechanism responsible for producing high wavenumber oscillations (noise)in the numerical solution of the nonlinear equations governing a free surface, barotropic, atmospheric model is reported. The oscillations are identified as predominantly the result of the lattice of the difference equations and the boundary conditions employed to specified the solution. The analytic methods employed involved the use of space and time sections of the numerical solutions to provide a set of hypotheses. These are tested utilizing a one-dimensional linear analog of the model equations. The solution of the linear equations is obtained analytically, by the method of characteristics, and numerically. Several possibilities for removing the noise are suggested. Some improvement is demonstrated when the suggested methods are used in the linear one-dimensional analog.
Publisher:
ISBN:
Category : Differential equations, Nonlinear
Languages : en
Pages : 92
Book Description
"A diagnostic study of the mechanism responsible for producing high wavenumber oscillations (noise)in the numerical solution of the nonlinear equations governing a free surface, barotropic, atmospheric model is reported. The oscillations are identified as predominantly the result of the lattice of the difference equations and the boundary conditions employed to specified the solution. The analytic methods employed involved the use of space and time sections of the numerical solutions to provide a set of hypotheses. These are tested utilizing a one-dimensional linear analog of the model equations. The solution of the linear equations is obtained analytically, by the method of characteristics, and numerically. Several possibilities for removing the noise are suggested. Some improvement is demonstrated when the suggested methods are used in the linear one-dimensional analog.
Numerical Weather Prediction Activities
Author: United States. National Weather Service
Publisher:
ISBN:
Category : Meteorological instruments
Languages : en
Pages : 46
Book Description
Publisher:
ISBN:
Category : Meteorological instruments
Languages : en
Pages : 46
Book Description
Numerical Weather Prediction Activities
Author: National Meteorological Center (U.S.)
Publisher:
ISBN:
Category : Meteorological services
Languages : en
Pages : 374
Book Description
Publisher:
ISBN:
Category : Meteorological services
Languages : en
Pages : 374
Book Description
Recent Research in Numerical Methods at the National Meterorological Center
Author: Ronald D. McPherson
Publisher:
ISBN:
Category : Meteorological services
Languages : en
Pages : 44
Book Description
Publisher:
ISBN:
Category : Meteorological services
Languages : en
Pages : 44
Book Description
The LFM Model - 1976
Author: Joseph P. Gerrity
Publisher:
ISBN:
Category : Hydrodynamic weather forecasting
Languages : en
Pages : 76
Book Description
Publisher:
ISBN:
Category : Hydrodynamic weather forecasting
Languages : en
Pages : 76
Book Description
Scientific and Technical Aerospace Reports
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1460
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1460
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Recent Studies of Computational Stability
Author: Joseph P. Gerrity
Publisher:
ISBN:
Category : Difference equations
Languages : en
Pages : 40
Book Description
Investigations of the computational stability of finite difference formulations of the equations governing shallow water, non-linear gravitational oscillations are reported. The investigations consist of empirical analyses of the results of numerical integration of the quasi-two-dimensional and fully two-dimensional versions of the equations. the results obtained in the quasi-two-dimensional experiments suggested the formulation of filters for use in approximating the non-linear terms. By filtering certain high frequency non-linear interactions, it is found possible to archive relatively well-behaved long term integrations. A number of efforts to extend this result to the fully two-dimensional equations are indicated. One procedure was found to be practically successful, but is finally rejected on the basis of the instability of its linear counterpart. The paper concludes a critique of possible extensions of the investigation.
Publisher:
ISBN:
Category : Difference equations
Languages : en
Pages : 40
Book Description
Investigations of the computational stability of finite difference formulations of the equations governing shallow water, non-linear gravitational oscillations are reported. The investigations consist of empirical analyses of the results of numerical integration of the quasi-two-dimensional and fully two-dimensional versions of the equations. the results obtained in the quasi-two-dimensional experiments suggested the formulation of filters for use in approximating the non-linear terms. By filtering certain high frequency non-linear interactions, it is found possible to archive relatively well-behaved long term integrations. A number of efforts to extend this result to the fully two-dimensional equations are indicated. One procedure was found to be practically successful, but is finally rejected on the basis of the instability of its linear counterpart. The paper concludes a critique of possible extensions of the investigation.
A Study of Non-linear Computational Instability for a Two-dimensional Model
Author: Paul D. Polger
Publisher:
ISBN:
Category : Meteorology
Languages : en
Pages : 30
Book Description
Publisher:
ISBN:
Category : Meteorology
Languages : en
Pages : 30
Book Description
NOAA Technical Memorandum NWS NMC.
Author:
Publisher:
ISBN:
Category : Meteorology
Languages : en
Pages : 124
Book Description
Publisher:
ISBN:
Category : Meteorology
Languages : en
Pages : 124
Book Description
Monthly Weather Review
Author:
Publisher:
ISBN:
Category : Meteorology
Languages : en
Pages : 1084
Book Description
Publisher:
ISBN:
Category : Meteorology
Languages : en
Pages : 1084
Book Description