Numerical Solution of Hydrodynamic Free Boundary Problems

Rogers, Joel C. W.; Szymczak, William G.; Berger, Alan E.; Solomon, Jay M.

doi:10.1007/978-3-0348-7301-7_15

Cited by 6 publications

(19 citation statements)

References 10 publications

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“…These formulas would agree if the ratio a was a constant independent of the depth. However, it follows from (3-2), (3-7), (3)(4)(5)(6)(7)(8) and (3)(4)(5)(6)(7)(8)(9)(10)(11) that a depends on the depth and can be determined using…”

Section: Table 3-3 Values Of Y For Various Explosive Typesmentioning

confidence: 99%

“…NSWCDD/TR-94/156 | several charge types and have been shown to lie very near the empirical relation (3-10) for depths | ranging from 100 to 800 ft. 1 However, from (3-4a) and assumption (3)(4)(5), the formulas (3-4a) and (3)(4)(5)(6)(7)(8)(9)(10) are not equivalent since the integral I1 depends on the depth. It is interesting to compare values of To, to TK.…”

Section: -7mentioning

confidence: 99%

“…P =d + PA (3)(4)(5)(6)(7)(8)(9)(10)(11) where d is the initial charge depth, and PA is the air pressure. For sea water PA = Pea = 33, feet of water.…”

mentioning

confidence: 99%

“…24 25 This discrepancy is due to several approxim mations performed to simplify formula (3-13b) in Reference 21. We remark that in addition to the assumption that the bubble gases behave adiabatically throughout the bubble oscillation, the additional assumption that the bubble remains spherical was also used to derive (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13). It is this latter assumption which is most suspect as the phenomena of non-spherical bubble collapse is well documented.…”

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confidence: 99%

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Computations and Experiments of Shallow Depth Explosion Plumes

Szymczak¹,

Solomon²

1996

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Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. REPORT DATE AUG 19962. REPORT TYPE 3. DATES COVERED 00-00-1996 to 00-00-1996 FOREWORDThis report was prepared in support of the Water Barrier Ship Self-Defense Concept, managed by C. E. Higdon of the Naval Surface Warfare Center, Dahlgren Division (NSWCDD), Dahlgren, Virginia, Code G42. Under the sponsorship of the Office of Naval Research (ONR), Arlington, Virginia, the Center is developing technology that has the potential to be very effective in defending Navy platforms against high speed low flying antiship missiles (ASMs). The concept uses a wall of water to provide a low cost, universal terminal defense system for ships. The wall of water or water barrier is formed from the shallow detonations of multiple underwater explosives to protect the ship from attacking ASMs. This concept can be employed to slow or stop debris and warhead fragments from missiles killed at very short range to preclude significant damage to the defending ship. Furthermore, the barrier would defeat the fuzing and structure of ASMs that have penetrated the inner self-defense layer.The main thrust of this report is to provide validations of a hydrodynamics computer code for predicting explosion plume behavior. The results of experiments conducted at NSWC Carderock Division, Bethesda, Maryland, in May 1993, at a quarry in Arvonia, Virginia in August 1994, and at the Briar Point facility of the Aberdeen Proving Grounds in June 1994, are used for the validation studies.The research in this paper related to the Water Barrier Ship Self-Defense Concept was supported by D. Siegal (ONR, Code 351). The basic research required for the development of the computational method and some of the theory presented was supported, in part, by R. Lau (ONR, Code 311) and the NSWC Independent Research (IR) fund.In addition to the sponsors of this research, the authors would like to acknowledge the work of J. Connor (NSWC Indian Head (IH) 9540A) for providing plume height measurements and underwater bubble and plume profiles; K. Boulais, J. Choe, and K. Erwin (NSWCDD, B42) for providing the microwave data measurements; and L. Lipton (NSWCIH 450) for providing the density probe data. We also thank S. L. Drinnon (NSWCDD, B44) for assisting in preparing t...

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Section: Table 3-3 Values Of Y For Various Explosive Typesmentioning

confidence: 99%

Section: -7mentioning

confidence: 99%

“…P =d + PA (3)(4)(5)(6)(7)(8)(9)(10)(11) where d is the initial charge depth, and PA is the air pressure. For sea water PA = Pea = 33, feet of water.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

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Computations and Experiments of Shallow Depth Explosion Plumes

Szymczak¹,

Solomon²

1996

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“…Manuscript approved December 16, 1999. In previous work [5,6,[10][11][12][13], the authors and colleagues have developed a computational capability for free surface flows in an incompressible fluid based on a generalized hydrodynamics model. The code BUB2D has been used to simulate two-dimensional (2-D) or axially symmetric problems, and BUB3D simulates fully three-dimensional (3-D) flows.…”

Section: Introductionmentioning

confidence: 99%

Generalized Hydrodynamics with Viscoplasticity for Channeling in Saturated Sand

Szymczak¹,

Rogers²

2000

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Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302, and to the Office of Management and Budget, Paperwork Reduction Project (0704-0188), Washington, DC 20503.

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Local energy of a bubble system and its loss due to acoustic radiation

Wang

2016

J. Fluid Mech.

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Energy concentration and loss due to a violent collapsing bubble are essential phenomena to many applications such as cavitation erosion, biomedical ultrasonics, sonochemistry, cavitation cleaning and underwater explosions. It has been generally known that the energy of a bubble system is radiated away as an acoustic wave and dissipated by viscosity. However, there is no study in the scientific literature on the time history of the energy of a bubble system in a compressible flow. Here we have introduced the local energy of a non-spherical bubble system, consisting of the energy of the interior gas, the interface and the exterior liquid in the inner asymptotic region. The local energy determines the local bubble and flow dynamics, including the concentration of energy, stress and momentum. We obtain a simple formula for the radiated energy associated with acoustic radiation in terms of the bubble volume history. We perform calculations of the energy history for a transient bubble in a compressible liquid in an infinite domain, subject to buoyancy and near a rigid boundary, respectively. Our calculations show that the local energy of a transient bubble follows a step function in time, being nearly conserved for most of each cycle of oscillation but decreasing rapidly and significantly at bubble inception and at the end of collapse, due to the emission of steep pressure waves or shock waves. The loss of the local energy of the bubble system due to the emission of steep pressure waves and the associated damping of the bubble oscillation are diminished by buoyancy effects and decrease with the buoyancy parameter. Similarly, the loss of the local energy of a bubble system is diminished by the presence of a rigid boundary and decreases with the proximity of the bubble to the boundary. We also analyse the energy concentration of single bubble sonoluminescence in a standing acoustic wave.

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Numerical Solution of Hydrodynamic Free Boundary Problems

Cited by 6 publications

References 10 publications

Computations and Experiments of Shallow Depth Explosion Plumes

Computations and Experiments of Shallow Depth Explosion Plumes

Generalized Hydrodynamics with Viscoplasticity for Channeling in Saturated Sand

Local energy of a bubble system and its loss due to acoustic radiation

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