The Use of an Exact Solution of the Navier–Stokes Equations in a Validation Test of a Three-Dimensional Nonhydrostatic Numerical ModelSource: Monthly Weather Review:;1993:;volume( 121 ):;issue: 008::page 2420Author:Shapiro, Alan
DOI: 10.1175/1520-0493(1993)121<2420:TUOAES>2.0.CO;2Publisher: American Meteorological Society
Abstract: An exact analytic solution of the Navier?Stokes equations is used to validate a three-dimensional nonhydrostatic numerical flow model, the Advanced Regional Prediction System developed at the Center for Analysis and Prediction of Storms. The exact solution is a viscously decaying extension of a Beltrami flow used in previous studies of thunderstorm rotation, and consists of a periodic array of counterrotating updrafts and downdrafts. This flow is noteworthy in that it is three-dimensional, free of singularities, and satisfies the Navier?Stokes equations with nontrivial (i.e., nonvanishing) inertial terms. The simple form of the analytic solution and its provision for arbitrarily large spatial gradients suggest its potential utility in validating numerical flow models and in testing the relative merits of various numerical solution algorithms.
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contributor author | Shapiro, Alan | |
date accessioned | 2017-06-09T16:09:34Z | |
date available | 2017-06-09T16:09:34Z | |
date copyright | 1993/08/01 | |
date issued | 1993 | |
identifier issn | 0027-0644 | |
identifier other | ams-62253.pdf | |
identifier uri | http://onlinelibrary.yabesh.ir/handle/yetl/4203125 | |
description abstract | An exact analytic solution of the Navier?Stokes equations is used to validate a three-dimensional nonhydrostatic numerical flow model, the Advanced Regional Prediction System developed at the Center for Analysis and Prediction of Storms. The exact solution is a viscously decaying extension of a Beltrami flow used in previous studies of thunderstorm rotation, and consists of a periodic array of counterrotating updrafts and downdrafts. This flow is noteworthy in that it is three-dimensional, free of singularities, and satisfies the Navier?Stokes equations with nontrivial (i.e., nonvanishing) inertial terms. The simple form of the analytic solution and its provision for arbitrarily large spatial gradients suggest its potential utility in validating numerical flow models and in testing the relative merits of various numerical solution algorithms. | |
publisher | American Meteorological Society | |
title | The Use of an Exact Solution of the Navier–Stokes Equations in a Validation Test of a Three-Dimensional Nonhydrostatic Numerical Model | |
type | Journal Paper | |
journal volume | 121 | |
journal issue | 8 | |
journal title | Monthly Weather Review | |
identifier doi | 10.1175/1520-0493(1993)121<2420:TUOAES>2.0.CO;2 | |
journal fristpage | 2420 | |
journal lastpage | 2425 | |
tree | Monthly Weather Review:;1993:;volume( 121 ):;issue: 008 | |
contenttype | Fulltext |