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Cited by 9 publications
(4 citation statements)
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“…Then, it is combined with the simple numerical flux formula of the direct DG method to approximate the gradient of conserved variables. In summary, the new DDGIC method defines multiple individual diffusion processes, each of which is combined to calculate the viscous numerical fluxes for 2-D compressible NS equations as (21) + ∇(ρu) h • ξ (22) + ∇(ρv) h • ξ (23) ∇ρ h • ξ (31) + ∇(ρu) h • ξ (32) + ∇(ρv) h • ξ (33) ∇ρ h • ξ (41) + ∇(ρu) h • ξ (42) + ∇(ρv) h • ξ (43)…”
Section: The New Ddgic Scheme Formulation For 2-d Compressible Navier...mentioning
confidence: 99%
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“…Then, it is combined with the simple numerical flux formula of the direct DG method to approximate the gradient of conserved variables. In summary, the new DDGIC method defines multiple individual diffusion processes, each of which is combined to calculate the viscous numerical fluxes for 2-D compressible NS equations as (21) + ∇(ρu) h • ξ (22) + ∇(ρv) h • ξ (23) ∇ρ h • ξ (31) + ∇(ρu) h • ξ (32) + ∇(ρv) h • ξ (33) ∇ρ h • ξ (41) + ∇(ρu) h • ξ (42) + ∇(ρv) h • ξ (43)…”
Section: The New Ddgic Scheme Formulation For 2-d Compressible Navier...mentioning
confidence: 99%
“…Similarly, the interface correction term can be simplified and computed as follows (21) + (ρu) h ξ (22) + (ρv) h ξ (23) • ∇φ j (x, y) ρ h ξ (31) + (ρu) h ξ (32) + (ρv) h ξ (33) • ∇φ j (x, y) ρ h ξ (41) + (ρu) h ξ (42) + (ρv) h ξ (43) + E h ξ (44) • ∇φ j (x, y)…”
Section: The New Ddgic Scheme Formulation For 2-d Compressible Navier...mentioning
confidence: 99%
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“…Even though DDG methods degenerate to the IPDG method with piecewise constant and linear polynomial approximations, there exist a number of advantages with DDG methods for higher order approximations. For such advantages, we refer to the discussions on a third order bound preserving scheme in [12], superconvergence to ∇U in [45,34] and elliptic interface problems with different jump interface conditions in [29].…”
mentioning
confidence: 99%