SPS stress equation

Atefeh_F · December 2021

Hello,

In the Dualsphysics formulation, I see the following formula for SPS stress tensor

compared to what I see in Dalrymple et (2006)

and in Shao and Gotoh (2005)

I got confused. which one is correct? all of them are cited in the Dualsphysics formulation. I think the k in the documentation should be replaced by Skk. Is there a typo in the formulation of Dualsphysics? if not, how we can explain the differences between the equations?

Alex · December 2021

It should be correct here:

Domínguez JM, Fourtakas G, Altomare C, Canelas RB, Tafuni A, García-Feal O, Martínez-Estévez I, Mokos A, Vacondio R, Crespo AJC, Rogers BD, Stansby PK, Gómez-Gesteira M. 2021. DualSPHysics: from fluid dynamics to multiphysics problems. Computational Particle Mechanics. doi:10.1007/s40571-021-00404-2.

Otherwise please let us know again

Regards

Atefeh_F · December 2021

It is correct in the link you shared. thanks

Notice	rich is deprecated. Use FormatService::renderHtml($content, Formats\RichFormat::FORMAT_KEY) instead. #0 [internal function]: gdn_ErrorHandler(16384, 'rich is depreca...', '/var/www/forums...', 950, Array) #1 /var/www/forums-dual-sphysics-org/library/core/functions.general.php(950): trigger_error('rich is depreca...', 16384) #2 /var/www/forums-dual-sphysics-org/library/core/class.format.php(1729): deprecated('rich', 'FormatService::...') #3 /var/www/forums-dual-sphysics-org/library/core/class.format.php(1479): Gdn_Format::rich('[{"insert":"Hel...') #4 /var/www/forums-dual-sphysics-org/applications/vanilla/controllers/class.discussioncontroller.php(197): Gdn_Format::to('[{"insert":"Hel...', 'Rich') #5 /var/www/forums-dual-sphysics-org/library/core/class.dispatcher.php(862): DiscussionController->index('2181', 'sps-stress-equa...', '') #6 /var/www/forums-dual-sphysics-org/library/core/class.dispatcher.php(279): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #7 /var/www/forums-dual-sphysics-org/index.php(29): Gdn_Dispatcher->dispatch() #8 {main}
Notice	rich is deprecated. Use FormatService::renderHtml($content, Formats\RichFormat::FORMAT_KEY) instead. #0 [internal function]: gdn_ErrorHandler(16384, 'rich is depreca...', '/var/www/forums...', 950, Array) #1 /var/www/forums-dual-sphysics-org/library/core/functions.general.php(950): trigger_error('rich is depreca...', 16384) #2 /var/www/forums-dual-sphysics-org/library/core/class.format.php(1729): deprecated('rich', 'FormatService::...') #3 /var/www/forums-dual-sphysics-org/library/core/class.format.php(1479): Gdn_Format::rich('[{"insert":"Hel...') #4 /var/www/forums-dual-sphysics-org/applications/vanilla/views/discussion/helper_functions.php(24): Gdn_Format::to('[{"insert":"Hel...', 'Rich') #5 /var/www/forums-dual-sphysics-org/applications/vanilla/views/discussion/discussion.php(89): formatBody(Object(stdClass)) #6 /var/www/forums-dual-sphysics-org/applications/vanilla/views/discussion/index.php(31): include('/var/www/forums...') #7 /var/www/forums-dual-sphysics-org/library/core/class.controller.php(778): include('/var/www/forums...') #8 /var/www/forums-dual-sphysics-org/library/core/class.controller.php(1382): Gdn_Controller->fetchView('', false, false) #9 /var/www/forums-dual-sphysics-org/library/core/class.pluggable.php(217): Gdn_Controller->xRender() #10 /var/www/forums-dual-sphysics-org/applications/vanilla/controllers/class.discussioncontroller.php(310): Gdn_Pluggable->__call('render', Array) #11 /var/www/forums-dual-sphysics-org/library/core/class.dispatcher.php(862): DiscussionController->index('2181', 'sps-stress-equa...', '') #12 /var/www/forums-dual-sphysics-org/library/core/class.dispatcher.php(279): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #13 /var/www/forums-dual-sphysics-org/index.php(29): Gdn_Dispatcher->dispatch() #14 {main}
Notice	rich is deprecated. Use FormatService::renderHtml($content, Formats\RichFormat::FORMAT_KEY) instead. #0 [internal function]: gdn_ErrorHandler(16384, 'rich is depreca...', '/var/www/forums...', 950, Array) #1 /var/www/forums-dual-sphysics-org/library/core/functions.general.php(950): trigger_error('rich is depreca...', 16384) #2 /var/www/forums-dual-sphysics-org/library/core/class.format.php(1729): deprecated('rich', 'FormatService::...') #3 /var/www/forums-dual-sphysics-org/library/core/class.format.php(1479): Gdn_Format::rich('[{"insert":"It ...') #4 /var/www/forums-dual-sphysics-org/applications/vanilla/views/discussion/helper_functions.php(24): Gdn_Format::to('[{"insert":"It ...', 'Rich') #5 /var/www/forums-dual-sphysics-org/applications/vanilla/views/discussion/helper_functions.php(170): formatBody(Object(stdClass)) #6 /var/www/forums-dual-sphysics-org/applications/vanilla/views/discussion/comments.php(19): writeComment(Object(stdClass), Object(DiscussionController), Object(Gdn_Session), 1) #7 /var/www/forums-dual-sphysics-org/applications/vanilla/views/discussion/index.php(53): include('/var/www/forums...') #8 /var/www/forums-dual-sphysics-org/library/core/class.controller.php(778): include('/var/www/forums...') #9 /var/www/forums-dual-sphysics-org/library/core/class.controller.php(1382): Gdn_Controller->fetchView('', false, false) #10 /var/www/forums-dual-sphysics-org/library/core/class.pluggable.php(217): Gdn_Controller->xRender() #11 /var/www/forums-dual-sphysics-org/applications/vanilla/controllers/class.discussioncontroller.php(310): Gdn_Pluggable->__call('render', Array) #12 /var/www/forums-dual-sphysics-org/library/core/class.dispatcher.php(862): DiscussionController->index('2181', 'sps-stress-equa...', '') #13 /var/www/forums-dual-sphysics-org/library/core/class.dispatcher.php(279): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /var/www/forums-dual-sphysics-org/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}
Notice	rich is deprecated. Use FormatService::renderHtml($content, Formats\RichFormat::FORMAT_KEY) instead. #0 [internal function]: gdn_ErrorHandler(16384, 'rich is depreca...', '/var/www/forums...', 950, Array) #1 /var/www/forums-dual-sphysics-org/library/core/functions.general.php(950): trigger_error('rich is depreca...', 16384) #2 /var/www/forums-dual-sphysics-org/library/core/class.format.php(1729): deprecated('rich', 'FormatService::...') #3 /var/www/forums-dual-sphysics-org/library/core/class.format.php(1479): Gdn_Format::rich('[{"insert":"It ...') #4 /var/www/forums-dual-sphysics-org/applications/vanilla/views/discussion/helper_functions.php(24): Gdn_Format::to('[{"insert":"It ...', 'Rich') #5 /var/www/forums-dual-sphysics-org/applications/vanilla/views/discussion/helper_functions.php(170): formatBody(Object(stdClass)) #6 /var/www/forums-dual-sphysics-org/applications/vanilla/views/discussion/comments.php(19): writeComment(Object(stdClass), Object(DiscussionController), Object(Gdn_Session), 2) #7 /var/www/forums-dual-sphysics-org/applications/vanilla/views/discussion/index.php(53): include('/var/www/forums...') #8 /var/www/forums-dual-sphysics-org/library/core/class.controller.php(778): include('/var/www/forums...') #9 /var/www/forums-dual-sphysics-org/library/core/class.controller.php(1382): Gdn_Controller->fetchView('', false, false) #10 /var/www/forums-dual-sphysics-org/library/core/class.pluggable.php(217): Gdn_Controller->xRender() #11 /var/www/forums-dual-sphysics-org/applications/vanilla/controllers/class.discussioncontroller.php(310): Gdn_Pluggable->__call('render', Array) #12 /var/www/forums-dual-sphysics-org/library/core/class.dispatcher.php(862): DiscussionController->index('2181', 'sps-stress-equa...', '') #13 /var/www/forums-dual-sphysics-org/library/core/class.dispatcher.php(279): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /var/www/forums-dual-sphysics-org/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}

SPS stress equation

Comments

Debug Trace