A Finite Element Scheme for Shock Capturing Part 1 potx

... be physically measured or derived from architectural draw- ings. A patient table captures vital information about the patient, namely, personal data such as name, age, sex, contact information, and ... include patients with topographical disorientation, patients with different physical abilities and healthcare staff, families or visitors needing to navigate an unfamiliar indoor en...

Ngày tải lên: 19/06/2014, 10:20

... Version - http://www.simpopdf.com Waterways Experiment Station Cataloging-in-Publication Data Berger, Rutherford C. A finite element scheme for shock capturing / by R.C. Berger, Jr., ; prepared ... transitions and preserve the Rankine-Hugoniot conditions. For simple geometries, analytic and flume results are compared with approaches for shock- capturing and shock...

Ngày tải lên: 20/06/2014, 17:20

... the comparison is to actual flume data. The comparisons are made to the water surface heights and timing of the shock passage. The final case is a steady-state comparison to flume data reported ... variation for each element and flags those elements which have a high variation as needing a larger value of a for shock capturing. Note that this would work even in a Gale...

Ngày tải lên: 20/06/2014, 17:20

... go to smaller grid spacing. Values of C, less than 1 appear to lag the analytic shock and Cs greater than 1 leads the analytic shock. With the largest C, the calculated shock speed ... arrival is 3.55 sec which is about 0.1 sec late (3 percent). At station 6 both flume and numerical model arrival times for at of 1.0 were about 4.3 sec and for slation 8 the n...

Ngày tải lên: 20/06/2014, 17:20

... reach the smallest time-step. Again if we are within the shock at a depth where there is an upstream propagating wave (subcritical), is there a Courant number C that has a relative speed greater ... indicates nondimensional quantities and o as a subscript indicates a constant, and These equations can be diagonalized by defining a new variable such that P :A~ P, = A,...

Ngày tải lên: 20/06/2014, 17:20

... Wiley and Sons, New York, 74 8-7 54. Leendertse, J. J. (1967). "Aspects of a computational model for long-period water-wave propagation," Memorandum RM 5294-PR, Rand Corporation, Santa ... Experiment Station aulics Laboratory Halls Ferry Road, Vicksburg, MS 3918 0-6 199 Technical Report HL-9 3-1 2 sistant Secretary of the Army (R&D) shington, DC 20315 vail...

Ngày tải lên: 20/06/2014, 17:20

... variation for each element and flags those elements which have a high variation as needing a larger value of a for shock capturing. Note that this would work even in a Galerkin scheme since ... the comparison is to actual flume data. The comparisons are made to the water surface heights and timing of the shock passage. The final case is a steady-state comparison t...

Ngày tải lên: 27/06/2014, 14:20

... analytic and flume results are compared with approaches for shock- capturing and shock detection. A trigger mechanism that turns on the capture schemes in the vicinity of shocks and the characteristic ... Laboratory Independent Research Program A Finite Element Scheme for Shock Capturing by R. C. Berger, Jr. Hydraulics Laboratory U.S. Army Corps of Engineers...

Ngày tải lên: 07/08/2014, 10:20

... (1978) or Walters and Carey (1983)). Typically, these are chosen as depth as an elemental constant and velocity as linear, or depth linear and velocity as a quadratic. This approach effectively ... Momentum relation. Again assuming constant density, the balance of momentum and force may be written as (in the direction of the normal to the shock) and taking the limit as GI and Q2...

Ngày tải lên: 07/08/2014, 10:20

... variation for each element and flags those elements which have a high variation as needing a larger value of a for shock capturing. Note that this would work even in a Galerkin scheme since ... the comparison is to actual flume data. The comparisons are made to the water surface heights and timing of the shock passage. The final case is a steady-state comparison t...

Ngày tải lên: 07/08/2014, 10:20

... speed at AX = 0 .4 m so there was no need to go to smaller grid spacing. Values of C, less than 1 appear to lag the analytic shock and Cs greater than 1 leads the analytic shock. ... defined as MlAh. Here h is the depth and Ah is the analytic depth difference across the shock, 0.1 m. The error was as small as was detectable by the technique for measurement o...

Ngày tải lên: 07/08/2014, 10:20

... a general 2-D setting. Chapter 3 Testing 0 .5 0 0 .5 1.0 1 .5 2.0 2 .5 3.0 3 .5 4.0 4 .5 5.0 5. 5 6.0 6 .5 7.0 DISTANCE FROM CONTRACTION, FT 0 .5 0 0 .5 1.0 1 .5 2.0 2 .5 3.0 3 .5 4.0 4 .5 5.0 5. 5 ... 4 .5 5.0 5. 5 Time, sec A, is the diagonal matrix of eigenvalues and Po and P-: are composed of the eigenvectors (and are arbitrary). With the substitution...

Ngày tải lên: 07/08/2014, 10:20

... the spatial node location. We now present the results of this analysis for a = 112 and for the temporal derivative parameter at of 1.0 and 1.5. We shall compare the relative ampli- ... Figures 6- 11 for Case 1, analytic shock case, we must remember that C, is the Courant number based on shock speed, whereas C is based on the perturbation wave speed. If we consider...

Ngày tải lên: 07/08/2014, 10:20

... Wiley and Sons, New York, 74 8 -75 4. Leendertse, J. J. (19 67) . "Aspects of a computational model for long-period water-wave propagation," Memorandum RM 5294-PR, Rand Corporation, Santa ... Monica, CA. Moretti, G. (1 979 ). "The A- scheme, " Computers in Fluids 7( 3), 191-205. Platzman, G. W. (1 978 ). "Normal modes of the world ocean; Part 1, Desi...

Ngày tải lên: 07/08/2014, 10:20

... 0749_Frame_C17 Page 217 Wednesday, February 19, 2003 5:24 PM â 2003 by CRC CRC Press LLC 216 Finite Element Analysis: Thermomechanics of Solids the approximate formula (17. 3) Also of interest ... n += ++ ∆∆γγ 11 0749_Frame_C17 Page 224 Wednesday, February 19, 2003 5:24 PM â 2003 by CRC CRC Press LLC 222 Finite Element Analysis: Thermomechanics of Solids the...

Ngày tải lên: 11/08/2014, 04:20