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Cited by 15 publications
(13 citation statements)
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“…Because of these desirable properties, DG methods are becoming more and more popular in atmospheric modeling [4][5][6][7] on a variety of spherical meshes [8,9]. We refer the readers to the review paper [10] for details of the various DG applications in atmospheric science with an extensive list of references. 4 W. GUO, R. D. NAIR AND X. ZHONG Despite the great advantages, DG schemes may fail in approximating transport equations with discontinuous solution structures including strong shocks or sharp gradients.…”
Section: Introductionmentioning
confidence: 99%
“…Because of these desirable properties, DG methods are becoming more and more popular in atmospheric modeling [4][5][6][7] on a variety of spherical meshes [8,9]. We refer the readers to the review paper [10] for details of the various DG applications in atmospheric science with an extensive list of references. 4 W. GUO, R. D. NAIR AND X. ZHONG Despite the great advantages, DG schemes may fail in approximating transport equations with discontinuous solution structures including strong shocks or sharp gradients.…”
Section: Introductionmentioning
confidence: 99%
“…2D Smooth solid-body rotation The smooth solid-body rotation test with a smooth function is used for a grid convergence study [60,61]. A Gaussian hill q h ¼ exp À5 ðx À x c Þ 2 þ ðy À y c Þ 2 h i is originally centered in ðx c ; y c Þ ¼ ð0; 0Þ in a periodic domain X ¼ ½Àp; p  ½Àp; p with prescribed velocity ðu; wÞ ¼ ðÀp y; pxÞ.…”
Section: Numerical Testingmentioning
confidence: 99%
“…1-4. For many practical applications monotonic solutions are required, and usually a monotonic limiter/filter is used to control or eliminate spurious oscillations [42].…”
Section: Non-divergent Casesmentioning
confidence: 99%
“…The discontinuous Galerkin (DG) method may be considered as a hybrid conservative approach combining the nice features of the finite-element and finite-volume methods [40]; and is becoming increasingly popular in atmospheric modeling applications [42]. Here, we briefly outline the DG transport scheme on the cubed-sphere, which is used for the deformational flow simulations.…”
mentioning
confidence: 99%