A Subgrid-Scale Deconvolution Approach for Shock Capturing
作者： N.A. Adams , S. Stolz
关键词: Euler equations 、 Inviscid flow 、 Mathematical analysis 、 Conservation law 、 Mathematics 、 Flow (mathematics) 、 Deconvolution 、 Nonlinear system 、 Classification of discontinuities 、 Relaxation (approximation)
摘要: We develop a method for the modeling of flow discontinuities which can arise as weak solutions inviscid conservation laws. Due to its similarity with recently proposed approximate deconvolution models large-eddy simulation, potentially allows unified treatment and turbulent subgrid scales. A filtering approach is employed since filtered evolution equations solution smooth be solved by standard central finite-difference schemes without special consideration discontinuities. sufficiently accurate representation nonlinear combination discontinuous components from convection term obtained regularized applied solution. For stable integration are supplemented relaxation regularization based on secondary filter operation parameter. An estimate parameter provided. The related spectral vanishing-viscosity Chapman?Enskog expansion detail demonstrate efficiency viscous Burgers equations, isothermal shock problem, one-dimensional Euler equations.
harvard.edu
elsevier.com
sci-hub.se 参考文章(57)
S. Stolz, N. A. Adams, L. Kleiser, The Approximate Deconvolution Model for Compressible Flows: Isotropic Turbulence and Shock-Boundary-Layer Interaction alcf. ,vol. 65, pp. 33- 47 ,(2002) , 10.1007/0-306-48383-1_3
N. A. Adams, The Role of Deconvolution and Numerical Discretization in Subgrid-Scale Modeling Springer, Dordrecht. pp. 311- 320 ,(2001) , 10.1007/978-94-017-1263-7_38
N. A. Adams, S. Soltz, Deconvolution Methods for Subgrid-Scale Approximation in Large-Eddy Simulation ,(2001)
J. Bardino, W. C. Reynolds, J. H. Ferziger, Improved turbulence models based on large eddy simulation of homogeneous, incompressible turbulent flows Ph.D. Thesis. ,(1983)
Bertil Gustafsson, Heinz-Otto Kreiss, Joseph Oliger, Time Dependent Problems and Difference Methods Time-Dependent Problems and Difference Methods. ,(2013) , 10.1002/9781118548448
Alvaro A. Aldama, Filtering Techniques for Turbulent Flow Simulation ,(1990)
Eleuterio F Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction ,(1999)
A. Leonard, G. S. Winckelmans, A Tensor-Diffusivity Subgrid Model for Large-Eddy Simulation Direct and Large-Eddy Simulation III. pp. 147- 162 ,(1999) , 10.1007/978-94-015-9285-7_13
Peter D. Lax, Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves ,(1987)
A. Leonard, Energy Cascade in Large-Eddy Simulations of Turbulent Fluid Flows Advances in Geophysics. ,vol. 18, pp. 237- 248 ,(1975) , 10.1016/S0065-2687(08)60464-1