BAIL 2006 Book of Abstracts - Institut für Numerische und ...

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L. BOGUSLAWSKI: Sheare Stress Distribution on Sphere Surface at Different Inflow Turbulence ✬ ✫ External turbulence of inflow jet increasing flow turbulence near sphere surface where flow accelerate. This cause increase of local shear stress and its fluctuations. Increasing of shear stress transfer fluctuations indicated that turbulence of external flow intensify momentum processes near the wall of sphere. In flow deceleration zone of flow >90 o for both presented in figure 1 turbulence levels the time average value and its fluctuations rise in this some way. Both runs near parallel. For acceleration zone of flow near sphere ( ~60 o ) shear stress reach maximum value. In this some region of flow the flow acceleration reduced turbulent fluctuations of momentum transfer generated by external flow turbulence. Distributions for different level of turbulence without average velocity change will be presented and discussed. For such conditions only influence of turbulence are indicated. Analysis of the power spectrum of turbulent fluctuations of shear stress on sphere surfaces for different flow intensity at chosen locations will be presented and will be compared with the power spectrum of inflow turbulence. References [1] S.Whitaker. Forced convection heat transfer correlation for flow in pipes, past flat plates, single cylinders, single spheres and flow in packed beds and tube bundles, J. of AICHE, vol. 18, 361- 371, 1972. [2] L. Bogusławski. Losses of heat from sphere surface at different inflow conditions (in polish), XVI Thermodinamics Conference, Kołobrzeg , vol. 1, 135-140, 1996. [3] L. Bogusławski. Measurements technique of stagnation point heat transfer and its fluctuations by means of a constant temperature sensor, Proceedings of Turbulent Heat Transfer Conference, 1-6, San Diego, May 1996. [4] H. Giedt. Trans. ASME, 71, 375, 1949 Speaker: BOGUSLAWSKI, L. 74 BAIL 2006 ✩ ✪
A.CANGIANI, E.H.GEORGOULIS, M. JENSEN: Continuous-Discontinuous Finite Element Methods for Convection-Diffusion Problems ✬ ✫ Continuous-Discontinuous Finite Element Methods for Convection-Diffusion Problems Abstract Andrea Cangiani, Emmanuil H. Georgoulis and Max Jensen February 14, 2006 Standard (conforming) finite element approximations of convection-dominated convection-diffusion problems often exhibit poor stability properties that manifest themselves as non-physical oscillations polluting the numerical solution. Various techniques have been proposed for the stabilisation of finite element methods (FEMs) for convection-diffusion problems, see for example, Morton [12] and Roos, Stynes and Tobiska [14] for a complete survey. Common techniques are Petrov-Galerkin methods, like the streamline upwind Petrov-Galerkin (SUPG) method introduced by Hughes and Brooks [8], exponential fitting [13], ad hoc meshing, like graded meshes [15] and Shishkin type meshes [11], and adaptive mesh refinement (see, e.g., [5] and [6]). More recently, the residual-free bubble method of Brezzi et al [2], [1], [4] and the variational multiscale method of Hughes and co-authors [9],[10]. During the last decade, families of discontinuous Galerkin finite element methods (DGFEMs) have been proposed for the numerical solution of convection-diffusion problems, due to many attractive properties they exhibit. In particular, DGFEMs admit good stability properties, they offer flexibility in the mesh design (irregular meshes are admissible) and in the imposition of boundary conditions (Dirichlet boundary conditions are weakly imposed), and they are increasingly popular in the context of hp-adaptive algorithms. The above mentioned attractive features of DGFEMs come at the price of the higher number of degrees of freedom used. For instance, for piece-wise linear approximations in d-dimensions, DGFEMs require 2 d times more degrees of freedom than conforming FEMs and their stabilised variants. The relative difference in the number of degrees of freedom reduces when considering higher order local polynomial degree in the approximations; nevertheless, the conforming FEMs always require less degrees of freedom than their DGFEM counterparts. The issue of the number of degrees of freedom required by DGFEMs has recently been addressed by T.J.R. Hughes and co-workers in [7], where the Multiscale Discontinuous Galerkin (MDG) finite element method framework is introduced. MDG uses local, element-wise problems to develop a transformation between the degrees of freedom of the discontinuous space and a related, smaller, continuous space. The transformation enables a direct construction of the global matrix problem in terms of the degrees of freedom of the continuous space. It is proved that the method has the accuracy and stability of the original DGFEM. The drawback of this approach is the computational overhead of the solution of the local element-wise problems. We propose a numerical scheme for linear convection-diffusion problems which couples continuous and discontinuous Galerkin finite elements (CG-DG) in a different manner. Depending on the local variation of the solution, the scheme locally uses either the computationally less expensive continuous finite elements or the computationally more costly but also more stable discontinuous Galerkin discretisation. Given that good stability properties are required near features of almost (d − 1)-dimensional character (such as boundary and/or interior layers) discontinuous Galerkin discretisation is only used in the neighborhoods of such features, whereas standard conforming FEM is used away from the layers. Thus, the increased overhead from the use of DGFEMs is balanced by their minimal use, limited to the neighborhoods of layers. This work introduces the continuous-discontinuous Galerkin (CG-DG) finite element method, and presents the first results in the analysis of this approach. In particular, we derive an a-priori error analysis of the CG-DG blending technique, along with numerical experiments that evaluate the accuracy and efficiency of the CG-DG approach in practice. Speaker: GEORGOULIS, E.H. 75 BAIL 2006 1 ✩ ✪
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BAIL 2006 International Conference
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Plenary Session 1 Session 2 Session
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Room School-Lab (SL) Room MPI Sessi
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Room School-Lab (SL) Room MPI Tuesd
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Room School-Lab (SL) Room MPI Minis
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Contents Greetings . . . . . . . .
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CONTENTS S. HEMAVATHI, S. VALARMATH
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CONTENTS G. LUBE: A stabilized fini
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Plenary Presentations
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P. HOUSTON: Discontinuous Galerkin
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M. STYNES: Convection-diffusion pro
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V. GRAVEMEIER, S. LENZ, W.A. WALL:
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Minisymposia
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R.K. DUNNE, E. O’RIORDAN, M.M. TU
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G.I. SHISHKIN: A posteriori adapted
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W. LAYTON, I. STANCULESCU: Numerica
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H. WANG: A Component-Based Eulerian
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R. HARTMANN: Discontinuous Galerkin
Page 46 and 47: V. HEUVELINE: On a new refinement s
Page 48 and 49: J.A. MACKENZIE, A. NICOLA: A Discon
Page 50 and 51: R. SCHNEIDER, P. JIMACK: Anisotropi
Page 53 and 54: Speaker: Debopam Das, Tapan Sengupt
Page 55 and 56: M.H. BUSCHMANN, M. GAD-EL-HAK: Turb
Page 57 and 58: A. NAYAK, D. DAS: Three-dimesnional
Page 59 and 60: J. HUSSONG, N. BLEIER, V.V. RAM: Th
Page 61 and 62: T.K. SENGUPTA, A. KAMESWARA RAO: Sp
Page 63 and 64: L. SAVIĆ, H. STEINRÜCK: Asymptoti
Page 65 and 66: G.I. Shiskin, P. Hemker Robust Meth
Page 67 and 68: D. BRANLEY, A.F. HEGARTY, H. PURTIL
Page 69 and 70: T. LINSS, N. MADDEN: Layer-adapted
Page 71 and 72: L.P. SHISHKINA, G.I. SHISHKIN: A Di
Page 73 and 74: I.V. TSELISHCHEVA, G.I. SHISHKIN: D
Page 75 and 76: S. HEMAVATHI, S. VALARMATHI: A para
Page 77 and 78: J. Maubach, I, Tselishcheva Robust
Page 79 and 80: M. ANTHONISSEN, I. SEDYKH, J. MAUBA
Page 81 and 82: S. LI, L.P. SHISHKINA, G.I. SHISHKI
Page 83 and 84: A.I. ZADORIN: Numerical Method for
Page 85 and 86: P. ZEGELING: An Adaptive Grid Metho
Page 87: Contributed Presentations
Page 90 and 91: F. ALIZARD, J.-CH. ROBINET: Two-dim
Page 92 and 93: TH. ALRUTZ, T. KNOPP: Near-wall gri
Page 94 and 95: M. BAUSE: Aspects of SUPG/PSPG and
Page 98 and 99: A.CANGIANI, E.H.GEORGOULIS, M. JENS
Page 100 and 101: C. CLAVERO, J.L. GRACIA, F. LISBONA
Page 102 and 103: B. EISFELD: Computation of complex
Page 104 and 105: A. FIROOZ, M. GADAMI: Turbulence Fl
Page 106 and 107: A. FIROOZ, M. GADAMI: Turbulence Fl
Page 108 and 109: S.A. GAPONOV, G.V. PETROV, B.V. SMO
Page 110 and 111: M. HAMOUDA, R. TEMAM: Boundary laye
Page 112 and 113: M. HAMOUDA, R. TEMAM: Boundary laye
Page 114 and 115: M. HÖLLING, H. HERWIG: Computation
Page 116 and 117: A.-M. IL’IN, B.I. SULEIMANOV: The
Page 118 and 119: W.S. ISLAM, V.R. RAGHAVAN: Numerica
Page 120 and 121: D. KACHUMA, I. SOBEY: Fast waves du
Page 122 and 123: A. KAUSHIK, K.K. SHARMA: A Robust N
Page 124 and 125: P. KNOBLOCH: On methods diminishing
Page 126 and 127: T. KNOPP: Model-consistent universa
Page 128 and 129: J.-S. LEU, J.-Y. JANG, Y.-C. CHOU:
Page 130 and 131: V.D. LISEYKIN, Y.V. LIKHANOVA, D.V.
Page 132 and 133: G. LUBE: A stabilized finite elemen
Page 134 and 135: H. LÜDEKE: Detached Eddy Simulatio
Page 136 and 137: K. MANSOUR: Boundary Layer Solution
Page 138 and 139: J. MAUSS, J. COUSTEIX: Global Inter
Page 140 and 141: O. MIERKA, D. KUZMIN: On the implem
Page 142 and 143: K. MORINISHI: Rarefied Gas Boundary
Page 144 and 145: A. NASTASE: Qualitative Analysis of
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F. NATAF, G. RAPIN: Application of
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N. NEUSS: Numerical approximation o
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M.A. OLSHANSKII: An Augmented Lagra
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N. PARUMASUR, J. BANASIAK, J.M. KOZ
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B. RASUO: On Boundary Layer Control
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H.-G. ROOS: A Comparison of Stabili
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B. SCHEICHL, A. KLUWICK: On Turbule
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O. SHISHKINA, C. WAGNER: Boundary a
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M. STYNES, L. TOBISKA: Using rectan
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P. SVÁ ˘CEK: Numerical Approximat
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N.V. TARASOVA: Full asymptotic anal
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C.H. TAI, C.-Y. CHAO, J.-C. LEONG,
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H. TIAN: Uniformly Convergent Numer
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ABOUTUNSTEADYBOUNDARYLAYERONADIHEDR
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A.E.P. VELDMANN: High-order symmetr
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Z.-H. YANG, Y.-Z. LI, Y. ZHU: Appli
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Q. YE: Numerical simulation of turb
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Participants
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Mrs.Maragatha Meenakshi Ponnusamy P
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Authors Alizard, F., 67 Alrutz, Th,
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