https://puma.ub.uni-stuttgart.de/group/simtech/sharpPUMA RSS feed for /group/simtech/sharp2026-04-22T08:05:29+02:00https://puma.ub.uni-stuttgart.de/bibtex/22e8b18bc38a1c11e52c7497f4e0b1a90/elkepeterelkepeter2022-03-30T16:28:30+02:00high IADM inequalities Lieb-Thirring Sharp Weidl dimensions <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Ari Laptev" itemprop="url" href="/person/134327ad7d998d16e20752c390197637d/author/0"><span itemprop="name">A. Laptev</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Timo Weidl" itemprop="url" href="/person/134327ad7d998d16e20752c390197637d/author/1"><span itemprop="name">T. Weidl</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Acta Math.</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">184 </span></span>(<span itemprop="issueNumber">1</span>): <span itemprop="pagination">87--111</span></em> </span>(<em><span>2000<meta content="2000" itemprop="datePublished"/></span></em>)</span>Wed Mar 30 16:28:30 CEST 2022Acta Math.187--111Sharp {L}ieb-{T}hirring inequalities in high dimensions1842000high IADM inequalities Lieb-Thirring Sharp Weidl dimensions https://puma.ub.uni-stuttgart.de/bibtex/27e8bb871959ae6710fc36f435f60470c/mhartmannmhartmann2018-07-20T10:54:15+02:00phase resolution; compressible surface sharp interface method; tension; ghost-fluid latent transition; flow; vorlaeufig heat two-phase <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Stefan Fechter" itemprop="url" href="/person/11db17d28fd524bfc25df47ed16286487/author/0"><span itemprop="name">S. Fechter</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Claus-Dieter Munz" itemprop="url" href="/person/11db17d28fd524bfc25df47ed16286487/author/1"><span itemprop="name">C. Munz</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Rohde" itemprop="url" href="/person/11db17d28fd524bfc25df47ed16286487/author/2"><span itemprop="name">C. Rohde</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christoph Zeiler" itemprop="url" href="/person/11db17d28fd524bfc25df47ed16286487/author/3"><span itemprop="name">C. Zeiler</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">J. Comput. Phys.</span>, </em> </span>(<em><span>2017<meta content="2017" itemprop="datePublished"/></span></em>)</span>Fri Jul 20 10:54:15 CEST 2018J. Comput. Phys.347-374A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension3362017phase resolution; compressible surface sharp interface method; tension; ghost-fluid latent transition; flow; vorlaeufig heat two-phase The numerical approximation of non-isothermal liquid-vapor flow within the compressible regime is a difficult task because complex physical effects at the phase interfaces can govern the global flow behavior. We present a sharp interface approach which treats the interface as a shock-wave like discontinuity. Any mixing of fluid phases is avoided by using the flow solver in the bulk regions only, and a ghost-fluid approach close to the interface. The coupling states for the numerical solution in the bulk regions are determined by the solution of local multi-phase Riemann problems across the interface. The Riemann solution accounts for the relevant physics by enforcing appropriate jump conditions at the phase boundary. A wide variety of interface effects can be handled in a thermodynamically consistent way. This includes surface tension or mass/energy transfer by phase transition. Moreover, the local normal speed of the interface, which is needed to calculate the time evolution of the interface, is given by the Riemann solution. The interface tracking itself is based on a level-set method. The focus in this paper is the description of the multi-phase Riemann solver and its usage within the sharp interface approach. One-dimensional problems are selected to validate the approach. Finally, the three-dimensional simulation of a wobbling droplet and a shock droplet interaction in two dimensions are shown. In both problems phase transition and surface tension determine the global bulk behavior.