2015
DOI: 10.1175/mwr-d-15-0134.1
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Abstract: Gibbs oscillation can show up near flow regions with strong temperature gradients in the numerical simulation of nonhydrostatic (NH) mesoscale atmospheric flows when using the highorder discontinuous Galerkin (DG) method. We propose to incorporate localized Laplacian artificial viscosity in the DG framework to suppress the spurious oscillation in the vicinity of sharp thermal fronts, while not contaminating the smooth flow features elsewhere. The resulting numerical formulation is then validated on several ben… Show more

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Cited by 30 publications
(29 citation statements)
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“…In some instances, excessive anisotropic diffusion provided by certain slope limiters can actually deteriorate the shape of the rising thermal, and the WENO-based limiter has always been found to yield the best overall results despite the fact that it could not completely suppress the Q 0 overshoots. The position of the tip of the rising bubble is, however, seen to converge at high resolution toward ;950 m. The Q 0 extreme values shown in Table 1 at all three resolutions appear to be very similar to those reported by Yu et al (2015) on a very similar configuration with loworder polynomials and selective artificial viscosity. Yu et al (2015) show that keeping the perturbation potential temperature signal within its expected bounds requires the use of high-resolution grids (Dx # 5 m) and at least eighth-order polynomials.…”
Section: ) Resultssupporting
confidence: 79%
See 1 more Smart Citation
“…In some instances, excessive anisotropic diffusion provided by certain slope limiters can actually deteriorate the shape of the rising thermal, and the WENO-based limiter has always been found to yield the best overall results despite the fact that it could not completely suppress the Q 0 overshoots. The position of the tip of the rising bubble is, however, seen to converge at high resolution toward ;950 m. The Q 0 extreme values shown in Table 1 at all three resolutions appear to be very similar to those reported by Yu et al (2015) on a very similar configuration with loworder polynomials and selective artificial viscosity. Yu et al (2015) show that keeping the perturbation potential temperature signal within its expected bounds requires the use of high-resolution grids (Dx # 5 m) and at least eighth-order polynomials.…”
Section: ) Resultssupporting
confidence: 79%
“…The position of the tip of the rising bubble is, however, seen to converge at high resolution toward ;950 m. The Q 0 extreme values shown in Table 1 at all three resolutions appear to be very similar to those reported by Yu et al (2015) on a very similar configuration with loworder polynomials and selective artificial viscosity. Yu et al (2015) show that keeping the perturbation potential temperature signal within its expected bounds requires the use of high-resolution grids (Dx # 5 m) and at least eighth-order polynomials. Increasing the level of numerical diffusion may also help convergence, but this would be done at the expense of the overall quality of the results [see Yelash et al (2014) and discussion above].…”
Section: ) Resultssupporting
confidence: 79%
“…In [20] the stability of the solution was achieved via a non-dissipative low pass spatial filter [52; 6]. For direct comparison, a viscous solution of the same problem is reported in [53] using a parameter-dependent element-based viscosity.…”
mentioning
confidence: 99%
“…The artificial viscosity 碌 is varied among the test cases. Note that NUMA is equipped to use either the local adaptive viscosity described in [17], or the dynamic sub-grid scale model for LES (Dyn-SGS) reported in [18]. However, to allow others to replicate our results, in this work we use a constant 碌.…”
Section: Governing Equationsmentioning
confidence: 99%