Journal ArticleDOI
A small-scale dynamic model using a terrain-following coordinate transformation
TLDR
In this article, a three-dimensional finite-difference model of air flow over an irregular lower surface is described, and the model is nonhydrostatic and the anelastic approximation has been used to filter sound waves.About:
This article is published in Journal of Computational Physics.The article was published on 1977-06-01. It has received 409 citations till now. The article focuses on the topics: Witch of Agnesi & Boundary value problem.read more
Citations
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A finite-volume, incompressible Navier Stokes model for studies of the ocean on parallel computers
TL;DR: A preconditioner is used which, in the hydrostatic limit, is an exact integral of the Poisson operator and so leads to a single algorithm that seamlessly moves from nonhydrostatic to hydrostatic limits, competitive with the fastest ocean climate models in use today.
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The Advanced Regional Prediction System (ARPS) – A multi-scale nonhydrostatic atmospheric simulation and prediction model. Part I: Model dynamics and verification
TL;DR: The Advanced Regional Prediction System (ARPS) as mentioned in this paper is a non-hydrostatic model developed at the Center for Analysis and Prediction of Storms (CAPS) at the University of Oklahoma.
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The Meso-NH Atmospheric Simulation System. Part I: adiabatic formulation and control simulations
Jean-Philippe Lafore,Joël Stein,Nicole Asencio,Philippe Bougeault,Véronique Ducrocq,J. Duron,C. Fischer,P. Héreil,Patrick Mascart,Valéry Masson,Jean-Pierre Pinty,Jean-Luc Redelsperger,Evelyne Richard,J. Vilà-Guerau de Arellano +13 more
TL;DR: The Meso-NH Atmospheric Simulation Engine as mentioned in this paper is a tool for small and meso-scale atmospheric processes, which is based on the Lipps and Hemler form of the anelastic system.
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A Benchmark Simulation for Moist Nonhydrostatic Numerical Models
TL;DR: In this paper, a benchmark solution that facilitates testing the accuracy, efficiency, and efficacy of moist nonhydrostatic numerical model formulations and assumptions is presented, created from a special configuration of moist model processes and a specific set of initial conditions.
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Boundary-fitted coordinate systems for numerical solution of partial differential equations—A review
TL;DR: A comprehensive review of methods of numerically generating curvilinear coordinate systems with coordinate lines coincident with all boundary segments is given in this article, along with a general mathematical framework and error analysis common to such coordinate systems.
References
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General circulation experiments with the primitive equations
TL;DR: In this article, an extended period numerical integration of a baroclinic primitive equation model has been made for the simulation and the study of the dynamics of the atmosphere's general circulation, and the solution corresponding to external gravitational propagation is filtered by requiring the vertically integrated divergence to vanish identically.
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Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface
Francis H. Harlow,J. Eddie Welch +1 more
TL;DR: In this paper, a new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time step advancement.
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Numerical solution of the Navier-Stokes equations
TL;DR: In this paper, a finite-difference method for solving the time-dependent Navier-Stokes equations for an incompressible fluid is introduced, which is equally applicable to problems in two and three space dimensions.
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A Simple Boundary Condition for Unbounded Hyperbolic Flows
TL;DR: In this article, a Sommerfeld radiation condition (2.2) was proposed for problems requiring a prescribed open boundary, and two severe tests were used to demonstrate the applicability of the open boundary condition: collapsing bubble, a dynamic event which excites many different internal gravity waves.
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Scale Analysis of Deep and Shallow Convection in the Atmosphere
TL;DR: In this article, Batchelor's approximate equations of motion were derived by a formal scale analysis, with the assumption that the percentage range in potential temperature is small and that the time scale is set by the Brunt-Vaisala frequency.