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Your search keyword '"Solovchuk, Maxim"' showing total 125 results
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125 results on '"Solovchuk, Maxim"'

3. Energy stable finite element scheme for simulating flow dynamics of droplets on non-homogeneous surfaces

Author

Ivančić, Filip and Solovchuk, Maxim

Subjects
Mathematics - Numerical Analysis
Abstract

An energy stable finite element scheme within arbitrary Lagrangian Eulerian (ALE) framework is derived for simulating the dynamics of millimetric droplets in contact with solid surfaces. Supporting surfaces considered may exhibit non--homogeneous properties which are incorporated into system through generalized Navier boundary conditions (GNBC). Numerical scheme is constructed such that the counterpart of (continuous) energy balance holds on the discrete level. This ensures that no spurious energy is introduced into the discrete system, i.e. the discrete formulation is stable in the energy norm. The newly proposed scheme is numerically validated to confirm the theoretical predictions. Of a particular interest is the case of droplet on a non-homogeneous inclined surface. This case shows the capabilities of the scheme to capture the complex droplet dynamics (sliding and rolling) while maintaining stability during the long time simulation.

Published
2022

5. ALE-type FEM formulation for PDEs on time-dependent domains with vanishing discrete SCL

Author

Ivancic, Filip, Sheu, Tony W. -H., and Solovchuk, Maxim

Subjects
Mathematics - Numerical Analysis
Abstract

The aim of this paper is to introduce a finite element formulation within Arbitrary Lagrangian Eulerian framework with vanishing discrete {\it Space Conservation Law} (SCL) for differential equations on time dependent domains. The novelty of the formulation is the method for temporal integration which results in preserving the SCL property and retaining the higher order accuracy at the same time. Once the time derivative is discretized (based on integration or differentiation formula), the common approach for terms in differential equation which do not involve temporal derivative is classified to be a kind of "time averaging" between time steps. In the spirit of classical approaches, this involves evaluating these terms in several points in time between the current and the previous time step ($[t_n,t_{n+1}]$), and then averaging them in order to provide the satisfaction of discrete SCL. Here, we fully use the polynomial in time form of mapping through which evolution of domain is realized -- the so called ALE map -- in order to avoid the problematics arising due to the moving grids. We give a general recipe on temporal schemes that have to be employed once the discretization for the temporal derivative is chosen. Numerical investigations on stability, accuracy and convergence are performed and the simulated results are compared with benchmark problems set up by other authors., Comment: 21 pages, 10 figures

Published
2018

9. Computational study for investigating acoustic streaming and heating during acoustic hemostasis

Author

Solovchuk, Maxim A., Thiriet, Marc, and Sheu, Tony W. H.

Subjects
Physics - Fluid Dynamics, Mathematics - Numerical Analysis, Physics - Medical Physics
Abstract

High intensity focused ultrasound (HIFU) has many applications ranging from thermal ablation of cancer to hemostasis. Although focused ultrasound can seal a bleeding site, physical mechanisms of acoustic hemostasis are not fully understood yet. To understand better the interaction between different physical mechanisms involved in hemostasis a mathematical model of acoustic hemostasis is developed. This model comprises the nonlinear Westervelt equation and the bioheat equations in tissue and blood vessel. In the three dimensional domain, the nonlinear hemodynamic equations are coupled with the acoustic and thermal equations. Convected cooling and acoustic streaming effects are incorporated in the modeling study. Several sonication angles and two wound shapes have been studied. The optimal focal point location is at the rear of the wound and the optimal angle is 45$^0$., Comment: 21 pages, 14 figures

Published
2014

12. Effect of acoustic streaming on tissue heating due to high-intensity focused ultrasound

Author

Solovchuk, Maxim A., Sheu, Tony W. H., Thiriet, Marc, and Lin, Win-Li

Subjects
Physics - Fluid Dynamics, Physics - Medical Physics
Abstract

The influences of blood vessels and focused location on temperature distribution during high-intensity focused ultrasound (HIFU) ablation of liver tumors is studied. A three-dimensional acoustics-thermal-fluid coupling model is employed to compute the temperature field in the hepatic cancerous region. The model is based on the linear Westervelt and bioheat equations as well as the nonlinear Navier-Stokes equations for the liver parenchyma and blood vessels. The effect of acoustic streaming is also taken into account in the present HIFU simulation study. Different blood vessel diameters and focal point locations were investigated. We found from this three-dimensional numerical study that in large blood vessels both the convective cooling and acoustic streaming can change considerably the temperature field and the thermal lesion near blood vessels. If the blood vessel is located within the beam width, both acoustic streaming and blood flow cooling effects should be taken into account. The predicted temperature difference for the cases considered with and without acoustic streaming effect is 54 % in regions close to the vessel wall. The necrosed volume can be reduced about 30 %, when taking into account acoustic streaming effect., Comment: 19 pages, 16 figures

Published
2011

13. Prediction of strong shock structure using the bimodal distribution function

Author

Solovchuk, Maxim A. and Sheu, Tony W. H.

Subjects
Physics - Fluid Dynamics
Abstract

A modified Mott-Smith method for predicting the one-dimensional shock wave solution at very high Mach numbers is constructed by developing a system of fluid dynamic equations. The predicted shock solutions in a gas of Maxwell molecules, a hard sphere gas and in argon using the newly proposed formalism are compared with the experimental data, direct-simulation Monte Carlo (DSMC) solution and other solutions computed from some existing theories for Mach numbers M<50. In the limit of an infinitely large Mach number, the predicted shock profiles are also compared with the DSMC solution. The density, temperature and heat flux profiles calculated at different Mach numbers have been shown to have good agreement with the experimental and DSMC solutions, Comment: 22 pages, 9 figures, Accepted for publication in Physical Review E

Published
2010
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14. Prediction of shock structure using the bimodal distribution function

Author

Solovchuk, Maxim A. and Sheu, Tony W. H.

Subjects
Physics - Fluid Dynamics, Physics - Atmospheric and Oceanic Physics
Abstract

A modification of Mott-Smith method for predicting the one-dimensional shock wave solution is presented. Mott-Smith distribution function is used to construct the system of moment equations to study the steady-state structure of shock wave in a gas of Maxwell molecules and in argon. The predicted shock solutions using the newly proposed formalism are compared with the experimental data, direct-simulation Monte Carlo (DSMC) solution and the solutions predicted by other existing theories for Mach numbers M<11. The density, temperature, heat flux profiles and shock thickness calculated at different Mach numbers have been shown to have good agreement with the experimental and DSMC solutions. In addition, the predicted shock thickness is in good agreement with the DSMC simulation result at low Mach numbers.

Published
2010
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17. Fluid dynamics at arbitrary Knudsen on a base of Alexeev-Boltzmann equation: sound in a rarefied gas

Author

Leble, Sergey B. and Solovchuk, Maxim A.

Subjects
Physics - Fluid Dynamics
Abstract

The system of hydrodynamic-type equations is derived from Alexeev's generalized Boltzmann kinetic equation by two-side distribution function for a stratified gas in gravity field. It is applied to a problem of ultrasound propagation and attenuation. The linearized version of the obtained system is studied and compared with the Navier-Stokes one at arbitrary Knudsen numbers. The problem of a generation by a moving plane in a rarefied gas is explored and used as a test while compared with experiment. It is good agreement between predicted propagation speed, attenuation factor and experimental results for a wide range of Knudsen numbers., Comment: 7 pages, 2 figures, 25th International Symposium on rarefied gas dynamics

Published
2006

18. One-dimensional ultrasound propagation at stratified gas: Gross-Jackson model

Author

Leble, Sergey and Solovchuk, Maxim

Subjects
Physics - Fluid Dynamics
Abstract

The system of hydrodynamic-type equations, derived by two-side distribution function for a stratified gas in gravity field is applied to a problem of ultrasound. The theory is based on Gross-Jackson kinetic equation, which solution is built by means of locally equilibrium distribution function with different local parameters for molecules moving "up"and "down". The linearized version of the obtained system is studied and compared with other results and experiments at arbitrary Knudsen numbers. The problem of a generation by a moving plane in a rarefied gas is explored. The WKB solutions for ultrasound in a stratified medium are constructed in explicit form, evaluated and plotted., Comment: 8 pages,2 figures, WESPAC IX 2006, Seoul Korea

Published
2006

22. HIFU Treatment of Liver Cancer – Reciprocal Effect of Blood Flow and US Studied from a Patient-Specific Configuration

Author

Thiriet, Marc, Solovchuk, Maxim, Sheu, Tony Wen-Hann, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Kobsa, Alfred, editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Weikum, Gerhard, editor, Zhang, Yongjie Jessica, editor, and Tavares, João Manuel R. S., editor

Published
2014
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42. International Society for Therapeutic Ultrasound Conference 2016

Author

Fowlkes, Brian, Ghanouni, Pejman, Sanghvi, Narendra, Coussios, Constantin, Lyon, Paul C., Gray, Michael, Mannaris, Christophoros, Victor, Marie de Saint, Stride, Eleanor, Cleveland, Robin, Carlisle, Robert, Wu, Feng, Middleton, Mark, Gleeson, Fergus, Aubry, Jean-Franҫois, Pauly, Kim Butts, Moonen, Chrit, Vortman, Jacob, Sharabi, Shirley, Daniels, Dianne, Last, David, Guez, David, Levy, Yoav, Volovick, Alexander, Grinfeld, Javier, Rachmilevich, Itay, Amar, Talia, Zibly, Zion, Mardor, Yael, Harnof, Sagi, Plaksin, Michael, Weissler, Yoni, Shoham, Shy, Kimmel, Eitan, Naor, Omer, Farah, Nairouz, Paeng, Dong-Guk, Xu, Zhiyuan, Snell, John, Quigg, Anders H., Eames, Matthew, Jin, Changzhu, Everstine, Ashli C., Sheehan, Jason P., Lopes, Beatriz S., Kassell, Neal, Looi, Thomas, Khokhlova, Vera, Mougenot, Charles, Hynynen, Kullervo, Drake, James, Slayton, Michael, Amodei, Richard C., Compton, Keegan, McNelly, Ashley, Latt, Daniel, Kearney, John, Melodelima, David, Dupre, Aurelien, Chen, Yao, Perol, David, Vincenot, Jeremy, Chapelon, Jean-Yves, Rivoire, Michel, Guo, Wei, Ren, Guoxin, Shen, Guofeng, Neidrauer, Michael, Zubkov, Leonid, Weingarten, Michael S., Margolis, David J., Lewin, Peter A., McDannold, Nathan, Sutton, Jonathan, Vykhodtseva, Natalia, Livingstone, Margaret, Kobus, Thiele, Zhang, Yong-Zhi, Schwartz, Michael, Huang, Yuexi, Lipsman, Nir, Jain, Jennifer, Chapman, Martin, Sankar, Tejas, Lozano, Andres, Yeung, Robert, Damianou, Christakis, Papadopoulos, Nikolaos, Brokman, Omer, Zadicario, Eyal, Brenner, Ori, Castel, David, Wu, Shih-Ying, Grondin, Julien, Zheng, Wenlan, Heidmann, Marc, Karakatsani, Maria Eleni, Sánchez, Carlos J. Sierra, Ferrera, Vincent, Konofagou, Elisa E., Yiannakou, Marinos, Cho, HongSeok, Lee, Hwayoun, Han, Mun, Choi, Jong-Ryul, Lee, Taekwan, Ahn, Sanghyun, Chang, Yongmin, Park, Juyoung, Ellens, Nicholas, Partanen, Ari, Farahani, Keyvan, Airan, Raag, Carpentier, Alexandre, Canney, Michael, Vignot, Alexandre, Lafon, Cyril, Delattre, Jean-yves, Idbaih, Ahmed, Odéen, Henrik, Bolster, Bradley, Jeong, Eun Kee, Parker, Dennis L., Gaur, Pooja, Feng, Xue, Fielden, Samuel, Meyer, Craig, Werner, Beat, Grissom, William, Marx, Michael, Weber, Hans, Taviani, Valentina, Hargreaves, Brian, Tanaka, Jun, Kikuchi, Kentaro, Ishijima, Ayumu, Azuma, Takashi, Minamihata, Kosuke, Yamaguchi, Satoshi, Nagamune, Teruyuki, Sakuma, Ichiro, Takagi, Shu, Santin, Mathieu D., Marsac, Laurent, Maimbourg, Guillaume, Monfort, Morgane, Larrat, Benoit, François, Chantal, Lehéricy, Stéphane, Tanter, Mickael, Samiotaki, Gesthimani, Wang, Shutao, Acosta, Camilo, Feinberg, Eliza R., Kovacs, Zsofia I., Tu, Tsang-Wei, Papadakis, Georgios Z., Reid, William C., Hammoud, Dima A., Frank, Joseph A., Kovacs, Zsofia i., Kim, Saejeong, Jikaria, Neekita, Bresler, Michele, Qureshi, Farhan, Xia, Jingjing, Tsui, Po-Shiang, Liu, Hao-Li, Plata, Juan C., Sveinsson, Bragi, Salgaonkar, Vasant A., Adams, Matthew, Diederich, Chris, Ozhinsky, Eugene, Bucknor, Matthew D., Rieke, Viola, Mikhail, Andrew, Severance, Lauren, Negussie, Ayele H., Wood, Bradford, de Greef, Martijn, Schubert, Gerald, Ries, Mario, Poorman, Megan E., Dockery, Mary, Chaplin, Vandiver, Dudzinski, Stephanie O., Spears, Ryan, Caskey, Charles, Giorgio, Todd, Costa, Marcia M., Papaevangelou, Efthymia, Shah, Anant, Rivens, Ian, Box, Carol, Bamber, Jeff, ter Haar, Gail, Burks, Scott R., Nagle, Matthew, Nguyen, Ben, Milo, Blerta, Le, Nhan M., Song, Shaozhen, Zhou, Kanheng, Nabi, Ghulam, Huang, Zhihong, Ben-Ezra, Shmuel, Rosen, Shani, Mihcin, Senay, Strehlow, Jan, Karakitsios, Ioannis, Le, Nhan, Schwenke, Michael, Demedts, Daniel, Prentice, Paul, Haase, Sabrina, Preusser, Tobias, Melzer, Andreas, Mestas, Jean-Louis, Chettab, Kamel, Gomez, Gustavo Stadthagen, Dumontet, Charles, Werle, Bettina, Marquet, Fabrice, Bour, Pierre, Vaillant, Fanny, Amraoui, Sana, Dubois, Rémi, Ritter, Philippe, Haïssaguerre, Michel, Hocini, Mélèze, Bernus, Olivier, Quesson, Bruno, Livneh, Amit, Adam, Dan, Robin, Justine, Arnal, Bastien, Fink, Mathias, Pernot, Mathieu, Khokhlova, Tatiana D., Schade, George R., Wang, Yak-Nam, Kreider, Wayne, Simon, Julianna, Starr, Frank, Karzova, Maria, Maxwell, Adam, Bailey, Michael R., Lundt, Jonathan E., Allen, Steven P., Sukovich, Jonathan R., Hall, Timothy, Xu, Zhen, May, Philip, Lin, Daniel W., Constans, Charlotte, Deffieux, Thomas, Aubry, Jean-Francois, Park, Eun-Joo, Ahn, Yun Deok, Kang, Soo Yeon, Park, Dong-Hyuk, Lee, Jae Young, Vidal-Jove, J., Perich, E., Ruiz, A., Jaen, A., Eres, N., del Castillo, M. Alvarez, Myers, Rachel, Kwan, James, Coviello, Christian, Rowe, Cliff, Crake, Calum, Finn, Sean, Jackson, Edward, Pouliopoulos, Antonios, Li, Caiqin, Tinguely, Marc, Tang, Meng-Xing, Garbin, Valeria, Choi, James J., Folkes, Lisa, Stratford, Michael, Nwokeoha, Sandra, Li, Tong, Farr, Navid, D’Andrea, Samantha, Gravelle, Kayla, Chen, Hong, Lee, Donghoon, Hwang, Joo Ha, Tardoski, Sophie, Ngo, Jacqueline, Gineyts, Evelyne, Roux, Jean-Pau, Clézardin, Philippe, Conti, Allegra, Magnin, Rémi, Gerstenmayer, Matthieu, Lux, François, Tillement, Olivier, Mériaux, Sébastien, Penna, Stefania Della, Romani, Gian Luca, Dumont, Erik, Sun, Tao, Power, Chanikarn, Miller, Eric, Sapozhnikov, Oleg, Tsysar, Sergey, Yuldashev, Petr V., Svet, Victor, Li, Dongli, Pellegrino, Antonio, Petrinic, Nik, Siviour, Clive, Jerusalem, Antoine, Yuldashev, Peter V., Cunitz, Bryan W., Dunmire, Barbrina, Inserra, Claude, Guedra, Matthieu, Mauger, Cyril, Gilles, Bruno, Solovchuk, Maxim, Sheu, Tony W. H., Thiriet, Marc, Zhou, Yufeng, Neufeld, Esra, Baumgartner, Christian, Payne, Davnah, Kyriakou, Adamos, Kuster, Niels, Xiao, Xu, McLeod, Helen, Dillon, Christopher, Payne, Allison, Khokhova, Vera A., Sinilshchikov, Ilya, Andriyakhina, Yulia, Rybyanets, Andrey, Shvetsova, Natalia, Berkovich, Alex, Shvetsov, Igor, Shaw, Caroline J., Civale, John, Giussani, Dino, Lees, Christoph, Ozenne, Valery, Toupin, Solenn, Salgaonkar, Vasant, Kaye, Elena, Monette, Sebastien, Maybody, Majid, Srimathveeravalli, Govindarajan, Solomon, Stephen, Gulati, Amitabh, Bezzi, Mario, Jenne, Jürgen W., Lango, Thomas, Müller, Michael, Sat, Giora, Tanner, Christine, Zangos, Stephan, Günther, Matthias, Dinh, Au Hoang, Niaf, Emilie, Bratan, Flavie, Guillen, Nicolas, Souchon, Rémi, Lartizien, Carole, Crouzet, Sebastien, Rouviere, Olivier, Han, Yang, Payen, Thomas, Palermo, Carmine, Sastra, Steve, Olive, Kenneth, van Breugel, Johanna M., van den Bosch, Maurice A., Fellah, Benjamin, Le Bihan, Denis, Hernandez-Garcia, Luis, Cain, Charles A., Lyka, Erasmia, Elbes, Delphine, Li, Chunhui, Tamano, Satoshi, Jimbo, Hayato, Yoshizawa, Shin, Fujiwara, Keisuke, Itani, Kazunori, Umemura, Shin-ichiro, Stoianovici, Dan, Zaini, Zulfadhli, Takagi, Ryo, Zong, Shenyan, Watkins, Ron, Pascal-Tenorio, Aurea, Jones, Peter, Butts-Pauly, Kim, Bouley, Donna, Chen, Yazhu, Lin, Chung-Yin, Hsieh, Han-Yi, Wei, Kuo-Chen, Garnier, Camille, Renault, Gilles, Seifabadi, Reza, Wilson, Emmanuel, Eranki, Avinash, Kim, Peter, Lübke, Dennis, Huber, Peter, Georgii, Joachim, Dresky, Caroline V., Haller, Julian, Yarmolenko, Pavel, Sharma, Karun, Celik, Haydar, Li, Guofeng, Qiu, Weibao, Zheng, Hairong, Tsai, Meng-Yen, Chu, Po-Chun, Webb, Taylor, Vyas, Urvi, Walker, Matthew, Zhong, Jidan, Waspe, Adam C., Hodaie, Mojgan, Yang, Feng-Yi, Huang, Sin-Luo, Zur, Yuval, Assif, Benny, Aurup, Christian, Kamimura, Hermes, Carneiro, Antonio A., Rothlübbers, Sven, Schwaab, Julia, Houston, Graeme, Azhari, Haim, Weiss, Noam, Sosna, Jacob, Goldberg, S. Nahum, Barrere, Victor, Jang, Kee W., Lewis, Bobbi, Wang, Xiaotong, Suomi, Visa, Edwards, David, Larrabee, Zahary, Hananel, Arik, Rafaely, Boaz, Debbiny, Rasha Elaimy, Dekel, Carmel Zeltser, Assa, Michael, Menikou, George, Mouratidis, Petros, Pineda-Pardo, José A., de Pedro, Marta Del Álamo, Martinez, Raul, Hernandez, Frida, Casas, Silvia, Oliver, Carlos, Pastor, Patricia, Vela, Lidia, Obeso, Jose, Greillier, Paul, Zorgani, Ali, Catheline, Stefan, Solovov, Vyacheslav, Vozdvizhenskiy, Michael O., Orlov, Andrew E., Wu, Chueh-Hung, Sun, Ming-Kuan, Shih, Tiffany T., Chen, Wen-Shiang, Prieur, Fabrice, Pillon, Arnaud, Cartron, Valerie, Cebe, Patrick, Chansard, Nathalie, Lafond, Maxime, Seya, Pauline Muleki, Bera, Jean-Christophe, Boissenot, Tanguy, Fattal, Elias, Bordat, Alexandre, Chacun, Helene, Guetin, Claire, Tsapis, Nicolas, Maruyama, Kazuo, Unga, Johan, Suzuki, Ryo, Fant, Cécile, Rogez, Bernadette, Afadzi, Mercy, Myhre, Ola Finneng, Vea, Siri, Bjørkøy, Astrid, Yemane, Petros Tesfamichael, van Wamel, Annemieke, Berg, Sigrid, Hansen, Rune, Angelsen, Bjørn, and Davies, Catharina

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Published
2017

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