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XRF Standardle.s Comparison of Mining He.d and Tail Grade. to Scre.n and Display Ore.Proce.sing Re.ove.ie.

Ame.ican Journal of Analytical Che.istry 2016年第11期7卷 785-796页

作者： nicholas e. pingitore Jr Juan W. Clague.Danie. Gorski De.artme.t of Ge.logical Scie.ce. The University of Texas at El Paso El Paso Texas USA e.vironme.tal e.gine.ring & Public He.lth LLC El Paso Texas USA Te.as Mine.al Re.ource. Corporation Sierra Blanca Texas USA

Se.aration of targe. e.e.e.ts or mine.als from the.r host rock or ore.is e.se.tial to succe.sful mining ope.ation. The.ine.itable.loss of a portion of the.de.ire. mate.ial that accompanie. e.ch ste. in the.e.traction proce.s must be.docume.te. to de.e.op the.ope.ational protocol. Supe.position of the.characte.istic X-ray fluore.ce.ce.spe.tra of he.d (crushe. rock ore.particle., pre.proce.sing) and tail (post-proce.sing particle.) sample. provide. a dire.t visual comparison of re.ative.pe.k size., and the.e.y the.re.ative.conce.trations, of e.e.e.ts of inte.e.t. If the.he.d and tail pe.ks are.ide.tical, none.of the.e.e.e.t was re.ove.e. in the.e.traction proce.s. At the.othe. e.tre.e.if the.tail pe.k “flat line.”, i.e., the.e.is no pe.k, the.e.was 100% re.ove.y of that e.e.e.t. Standardle.s visual comparison is valid if the.same.mass of ide.tical starting mate.ial is incorporate. into the.he.d and tail sample.analysis pucks, and XRF analytical conditions are.ide.tical. The.conside.able.time.and e.pe.se.of acquiring and calibrating the.standards associate. with XRF analysis of 75 or more.e.e.e.ts are.avoide., a significant advantage.during initial broad scre.ning of an e.pe.ime.tal e.traction proce.ure. Full quantitation by XRF or an alte.nate.te.hnique.can proce.d at a late. proje.t stage. if de.ire.. The.approach re.ains and pre.e.ts all fe.ture. of the.original data, thus e.iminating que.tions about data quality, standards and the.r calibration, and data manipulation in proce.sing from raw counts to conce.trations in printout table.. This form of display is ide.l for both the.mining profe.sional and such le.s te.hnical groups as corporate.staff, inve.tors, re.ulators, and the.public. e.ample. pre.e.te. he.e.n are.for he.p le.ching;the.protocol can be.applie. as we.l to any of the.othe. traditional ore.proce.sing and be.e.iciation proce.ure., e.g., gravity conce.tration, magne.ic and e.e.trical se.aration, froth flotation, and ore.sorting.

关键词： XRF (X-Ray Fluore.ce.ce. Ore.Proce.sing He.p Le.ch Standardle.s Analysis Round Top Mountain Rare.e.rth e.e.e.ts

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Re.arkably Consiste.t Rare.e.rth e.e.e.t Grade. at Round Top Yttrofluorite.De.osit

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Advance. in Mate.ials Physics and Che.istry 2018年第1期8卷 1-14页

作者： nicholas e. pingitore Jr. Juan W. Clague.Danie. Gorski De.artme.t of Ge.logical Scie.ce. The University of Texas at El Paso El Paso TX USA e.vironme.tal e.gine.ring & Public He.lth LLC El Paso TX USA Te.as Mine.al Re.ource. Corporation Sierra Blanca TX USA

The.pe.aluminous rhyolite.that forms Round Top Mountain (approximate.y 375 m high × ne.rly 2 km in diame.e.), ne.r Sie.ra Blanca, Hudspe.h County, we.t Te.as, USA, is e.riche. in yttrium and he.vy rare.e.rth e.e.e.ts (YHRe.s), as we.l as Li, Be. U, Th, Sn, F, Rb, Cs, Nb, and Ta. Te.as Mine.al Re.ource. Corp. (USA) propose. to re.e.se.the.YHRe.s from the.r unique.yttrofluorite.host via he.p le.ching with dilute.sulfuric acid. The.ine.pe.sive.proce.s also re.e.se. portions of valuable.byproduct Be. Li, and U from acce.sory mine.als amid the.insoluble.fe.dspars and quartz that comprise.90% - 95% of the.surface.e.pose. rhyolite.mountain. The.obje.tive.of this study is to de.e.mine.the.consiste.cy of mine.alization grade. an important conside.ation in mine.planning and pre.iminary e.onomic analysis. The.me.hod is to plot e.e.e.tal analyse. of Y, Dy, Ho, Tm, Yb, Ce. Pr, Nd, e., Gd, Tb, U, and Nb from more.than 1400 re.e.se.circulation cuttings take. from 64 e.ploration drill hole. against sample.de.th. The.re.ult of inspe.tion of the.plots re.e.ls a re.arkably homoge.e.us distribution of minor and trace.e.e.e.ts throughout the.sample. portion of the.massive. 1.6-billion-tonne.laccolith. The.plots drive.the.conclusion that Round Top mine.fe.dstock should re.ain constant for the.life.of the.mine.(multiple.de.ade.). Thus mining me.hanics could be.optimize. at the.start of ope.ations and not re.uire.e.pe.sive.late. change.. The.physical and che.ical de.ign of the.he.p le.ch and re.ove.y and purification of targe. e.e.e.ts from pre.nant le.ch solution also could be.pe.fe.te. during e.rly de.e.opme.t.

关键词： He.vy Rare e.rth e.e.e.ts De.osit Grade Round Top Mountain He.p Le.ch Mine.al Proce.sing

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Microprobe.Mapping of Rare.e.rth e.e.e.t Distribution in Round Top Yttrofluorite.De.osit

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Advance. in Mate.ials Physics and Che.istry 2018年第1期8卷 15-31页

作者： nicholas e. pingitore Jr. Margare. Piranian Lorraine.M. Ne.ron Danie. Gorski De.artme.t of Ge.logical Scie.ce. The University of Texas at El Paso El Paso TX USA Te.as Mine.al Re.ource. Corporation Sierra Blanca TX USA

The.e.e.tron microprobe.maps the.spatial distribution of e.e.e.ts in a rock at a sub-mine.al-grain scale.to provide.a basis for unde.standing mine.alization proce.se. and to de.e.mine.optimal strate.ie. for e.traction of valuable.targe. e.e.e.ts. Round Top Mountain (ne.r the.town of Sie.ra Blanca, Hudspe.h County, we.t Te.as, USA) is a pe.aluminous rhyolite.laccolith that is homoge.e.usly mine.alize. at ove. 500 ppm rare.e.rths, more.than 70% of which are.yttrium and he.vy rare.e.rths (YHRe.s). The.massive.de.osit is e.pose. at the.surface.as a mountain some.2 km in diame.e. and 375 m in he.ght. Round Top Mountain also contains Li, Be. U, Th, Nb, Ta, Ga, Rb, Cs, Sn, and F. The.valuable.YHRe.s are.hoste. in yttrofluorite. which is soluble.in dilute.sulfuric acid. Te.as Mine.al Re.ource. Corporation propose. to surface.mine. crush, and he.p le.ch the.de.osit. The.distribution of YHRe.s, and that of othe. trace.e.e.e.ts, is re.arkably homoge.e.us at outcrop drill hole.scale. He.e.we.docume.t that YHRe. mine.alization appe.rs pe.vasive.through the.rhyolite.at a millime.e. scale. Back scatte.e. e.e.tron (BSe. and characte.istic X-ray maps re.e.l the.fine.grain size.and appare.tly random and dispe.se. spatial distribution of the.yttrofluorite.that hosts Round Top’s valuable.YHRe.s. The.yttrofluorite.grains do not appe.r to cluste. at spe.ial mine.alize. locations, e.g., in pore. or along cracks in the.rhyolite. The.same.is appare.tly true.of such othe. pote.tially valuable.mine.als as cassite.ite.and uranium spe.ie.. The.e.findings confirm that the.distribution of YHRe.s in Round Top Mountain rhyolite.is homoge.e.us through diffe.e.t orde.s of magnitude.of scale. i.e., from outcrop (as se.n in the.companion work in this volume. to sub-thin se.tion. The.mate.ial thus is ide.l for a he.p le.ch ope.ation whe.e.homoge.e.us fe.dstock is crucial to consiste.t and e.onomic ope.ation. The.findings also confirm and e.plain why me.hanical se.aration would prove.ve.y difficult and e

关键词： He.vy Rare e.rth e.e.e.ts Yttrofluorite e.e.tron Microprobe Micromapping Round Top

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ArcGIS<sup>TM</sup>and Principal Compone.t Analysis of Probe.Data to Micro-Map Mine.als in Round Top Rare.e.rth De.osit

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Advance. in Mate.ials Physics and Che.istry 2020年第2期10卷 39-52页

作者： Lorraine.M. Ne.rón Margare. Piranian Maria A. Amaya Danie. Gorski nicholas e. pingitore De.artme.t of Ge.logical Scie.ce. The University of Texas at El Paso El Paso TX USA School of Nursing The University of Texas at El Paso El Paso TX USA Te.as Mine.al Re.ource. Corporation Sierra Blanca TX USA

Rare.e.rth e.e.e.ts (Re.s), e.pe.ially he.vy rare.e.rth e.e.e.ts (HRe.s), are.in de.and for the.r curre.t and e.e.ging applications in advance. te.hnologie.. He.e.we.pe.form compute.-drive. micro-mapping at the.millime.e. scale.of the.mine.als that comprise.Round Top Mountain, in we.t Te.as, USA. This large.rhyolite.de.osit is e.riche. in HRe.s and such othe. critical e.e.e.ts as Li, Be. and U. e.e.tron probe.microanalysis of 2 × 2 mm are.s of thin se.tions of the.rhyolite.produce. individual maps of 16 e.e.e.ts. The.e.we.e.supe.impose. to ge.e.ate.a 16-e.e.e.t composition at e.ch pixe.. Principal compone.ts analysis of e.e.e.ts at e.ch pixe. ide.tifie. the.spe.ific mine.al at that site. The.pixe.s we.e.the. re.abe.e. as the.appropriate.mine.als, the.e.y producing a single.mine.al map. The.ove.all mine.al composition of the.7 studie. sample. compare. favorably with prior analyse. of the.Round Top de.osit available.in the.lite.ature. Like.ise.the.range.of porosity in the.maps was consiste.t with that of pre.ious dire.t me.sure.e.ts by wate. saturation. This ne. statistical and GIS-base. te.hnique.provide. a robust and unbiase. approach to e.e.tron microprobe.mapping. The.study furthe. showe. that the.high-value.yttrofluorite.grains e.hibite. little.te.de.cy to cluste. with othe. late.stage.trace.mine.als and that the.sample. e.te.de. the.pre.iously docume.te. ove.all homoge.e.ty of the.de.osit at fie.d scale.to this microscopic scale.

关键词： ArcGISTM e.e.tron Probe Microanalysis Principal Compone.t Analy-sis Rare e.rths Yttrofluorite X-Ray Map Analyze. Round Top

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ArcGIS<sup>TM</sup>Proximity and Cluste. Analysis of e.e.tron Probe.Micro-Maps of Round Top Critical Mine.al De.osit

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Advance. in Mate.ials Physics and Che.istry 2020年第3期10卷 63-76页

作者： Lorraine.M. Ne.rón Margare. Piranian Maria A. Amaya Danie. Gorski nicholas e. pingitore De.artme.t of Ge.logical Scie.ce. The University of Texas at El Paso El Paso Texas USA School of Nursing The University of Texas at El Paso El Paso Texas USA Te.as Mine.al Re.ource. Corporation Sierra Blanca Texas USA

Critical and rare.e.rth e.e.e.ts are.in high de.and for the.r incre.sing incorporation in mode.n te.hnological de.ice. for applications in the.military, industrial, comme.cial, and consume. se.tors. Round Top Mountain, a rhyolite.laccolith in Sie.ra Blanca, we.t Te.as, U.S.A. is a unique.mine.al de.osit that offe.s opportunity for de.e.opme.t of rare.e.rth e.e.e.ts, e.pe.ially the.he.vy rare.e.rths, as we.l as associate. critical e.e.e.ts. The.main obje.tive.he.e.is to e.aluate.the.distance. be.we.n acce.sory mine.als of pote.tial e.onomic value.(yttrofluorite. cryolite. uraninite. thorite. cassite.ite. and columbite., and to major (potassium fe.dspar, albite. and quartz) and minor mine.als (annite.mi-ca, magne.ite. and zircon). In this study we.e.plore.the.proximity and cluste.ing of the.e.minor and acce.sory mine.als, at the.mi-cron-to-millime.e. scale. from mine.al maps constructe. in a pre.ious application of ArcGISTM tools to e.e.tron probe.microanal-ysis (e.MA) e.e.e.t maps. Our goal is to de.e.mine.whe.he. spe.ific mine.als cluste. spatially and, if so, at what distance.. We.note. that the.high-value.targe. yttrofluorite.grains ofte. ne.ghbor potassium fe.dspar and quartz grains, but le.s commonly magne.ite.and mica grains. With re.ard to cluste. analysis, most minor and acce.sory mine.als we.e.found to group toge.he. at small scale. (low microme.e.) and we.e.dis-pe.se. or random at large. (up to 1 mm) distance..

关键词： ArcGISTM e.MA Proximity Riple.’s K-Function Critical Mine.als Yttro-fluorite Round Top De.osit

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Groupoid Approach to e.godic Dynamical Syste. of Commutative.von Ne.mann Alge.ra

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Advance. in Pure.Mathe.atics 2024年第3期14卷 167-184页

作者： nicholas O. Oke.e.Murphy e. e.we Physical and Mathe.atical Scie.ce. Dominican University Ibadan Nigeria De.artme.t of Mathe.atics University of Ibadan Ibadan Nigeria

Give. a compact and re.ular Hausdorff me.sure.space.(X, μ), with μ a Radon me.sure. it is known that the.ge.e.alise. space.M(X) of all the.positive.Radon me.sure. on X is isomorphic to the.space.of e.se.tially bounde. functions L∞(X, μ) on X. We.confirm that the.commutative.von Ne.mann alge.ras M⊂B(H), with H=L2(X, μ), are.unitary e.uivariant to the.maximal ide.ls of the.commutative.alge.ra C(X). Subse.ue.ly, we.use.the.me.sure.groupoid to formulate.the.alge.raic and topological structure. of the.commutative.alge.ra C(X) following its action on M(X) and de.ine.its re.re.e.tation and e.godic dynamical syste. on the.commutative.von Ne.mann alge.ras of M of B(H) .

关键词： Me.sure.Groupoid Groupoid e.uivale.ce e.godic Action Convolution Alge.ra von Ne.mann Alge.ra Ge.e.alize. Space

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Gove.nance.in the.e.ploration of global and re.ional de.e.minants of ICT de.e.opme.t

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Inte.national Journal of Innovation Studie. 2024年第2期8卷 132-153页

作者： Charle. S.Saba Simplice.A.Asongu nicholas Nge.ah Yolande.e.Ngoungou School of e.onomics College of Business and EconomicsUniversity of JohannesburgJohannesburgSouth Africa De.artme.t of e.onornic&Data Scie.ce New Uzbekistan University54 Mustaili AvenueTashkent100007Uzbekistan Unive.sity of Yaounde.2 SoaCameroon

The.pre.e.t study asse.se. how gove.nance.affe.ts information and communication te.hnology(IcT)at the.global le.e. continge.t on macroe.onomic policy factors such as trade.fore.gn dire.t inve.tme.t(FDI),manufacturing value.adde.,and agricultural value.*** study focuse. on 183 countrie. from 2003 to 2021,and the.e.pirical e.ide.ce.is base. on the.ge.e.alize. me.hod of mome.ts(GMM).The.following main findings are.*** the.full sample.gove.nance.unconditionally promote. ICT de.e.opme.t,while.trade.ope.ne.s(industrial adde. value.mode.ate. gove.nance.to promote.dampe.)ICT *** sub-Saharan Africa,only trade.ope.ne.s e.fe.tive.y mode.ate. gove.nance.to induce.an ove.all positive.e.fe.t on ICT,while.in the.Middle.e.st and North Africa(Me.A)re.ion,all policy variable. mode.ate.gove.nance.for an ove.all positive.incide.ce.on ICT se.tor *** findings for the.Me.A re.ion are.confirme. in the.e.rope.and Ce.tral Asia(e.A)re.ion,with the.e.ce.tion of the.mode.ating role.of industrial adde. value.which e.ge.de.s an ove.all ne.ative.*** the.e.st and South Asia and the.Pacific(e.AP)countrie.,one.ove.all positive.incide.ce.is appare.t in the.role.of trade.ope.ne.s,while.ne. ne.ative.e.fe.ts are.e.tablishe. from the.mode.ating role. of industrial adde. value.and agricultural adde. *** the.Ame.ican sub-sample.a positive.ne.ative.ne. e.fe.t is appare.t from the.role.of industrial adde. value.trade.in mode.ating the.incide.ce.of gove.-nance.on ICT se.tor ***,policy implications are.discusse..

关键词： ICT Gove.nance Trade FDI Industry Agriculture

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Re.e.t advance. in inte.me.iate.te.pe.ature.CO_(2) capture. Mate.ials,te.hnologie. and applications

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Journal of e.e.gy Che.istry 2024年第3期90卷 435-452,I0010页

作者： Che.gbo Zhao Le.ming Wang Liang Huang nicholas M.Musyoka Tianshan Xue.Jabor Rabe.h Qiang Wang e.gine.ring Re.e.rch Ce.te. for Wate. Pollution Source.Control&e.o-re.e.iation College of Environmental Science and EngineeringBeijing Forestry UniversityBeijing 100083China State.Ke. Laboratory of e.ficie.t Production of Fore.t Re.ource. Beijing Forestry UniversityBeijing 100083China China Machine.y Huanyu Ce.tification and Inspe.tion Co. Ltd.Beijing 102609China Nottingham Ningbo China Be.cons of e.ce.le.ce.Re.e.rch and Innovation Institute University of Nottingham Ningbo ChinaNingbo 315100ZhejiangChina Institute.of Atmosphe.ic e.vironme.t Chinese Research Academy of Environmental SciencesBeijing 100012China Le.bniz-Institut für Katalyse.e.V. Albert-Einstein-Str.29aRostock D-18059Germany

Carbon capture.utilization and storage.CCUS) is wide.y re.ognize. as a vital strate.y for mitigating the.impact of human induce. climate.*** various CO_(2) adsorbe.ts,inte.me.iate.te.pe.ature.solid adsorbe.ts have.garne.e. significant atte.tion due.to the.r pote.tial applications in hydroge. utilization,spe.ifically in the.wate. gas shift,ste.m re.orming and gasification *** proce.se. are.crucial for achie.ing carbon *** laboratory-le.e. studie. have.showcase. the.high adsorption capacity of the.e.mate.ials via various synthe.is and modification me.hods,the.r practical application in comple. industrial e.vironme.ts re.ains challe.ging,impe.ing the.comme.cialization *** re.ie. aims to critically summarize.the.re.e.t re.e.rch progre.s made.in inte.me.iate.e.pe.ature.200-400℃) solid CO_(2) adsorbe.ts,particularly focusing on indicators such as cyclability,gas se.e.tivity,and formability,which play vital role. in industrial application ***,we.provide.an ove.vie. of laboratory-le.e. advance. te.hnologie. spe.ifically tailore. for industrial ***,we.highlight se.e.al industrial-re.dy advance. te.hnologie. that can pave.the.way for ove.coming the.challe.ge. associate. with large.scale.*** insights provide. by this re.ie. aim to assist re.e.rche.s in ide.tifying the.most re.e.ant re.e.rch dire.tions for industrial *** promoting advance. in the.application of solid adsorbe.ts,we.strive.to facilitate.the.ultimate.goal of achie.ing carbon ne.trality.

关键词： Inte.me.iate.te.pe.ature CO_(2) capture MgO LDHs Industrialization

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Impact of pre. and pe.i-ope.ative.risk factors on le.gth of stay and hospital re.dmission following minimally-invasive.partial ne.hre.tomy

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Asian Journal of Urology 2024年第1期11卷 72-79页

作者： Vane.sa A.Lukas Rahul Dutta Ashok K.He.al Matve. Tsivian Timothy e.Crave. nicholas A.De.be. David D.Thie. Ram Anil Pathak Brigham and Wome.'s Hospital Division of UrologyDepartment of Surgery75 Francis StreetBostonMAUSA Atrium He.lth Wake.Fore.t Baptist Me.ical Ce.te. Department of Urology1 Medical Center BlvdWinston-SalemNCUSA Mayo Clinic Florida Department of Urology4500 San Pablo RoadJacksonvilleFLUSA

Obje.tive.We.conducte. an analysis of the.Ame.ican Colle.e.of Surge.ns National Surgical Quality Improve.e.t Program database.for minimally-invasive.partial ne.hre.tomy case. re.orte. with the.goal to ide.tify pre.and pe.i-ope.ative.variable. associate. with le.gth of stay(LOS)gre.te. than 3 days and re.dmission within 30 ***:Re.ords from 2008 to 2018 for“laparoscopy,surgical;partial ne.hre.tomy”for prolonge. LOS and re.dmission cohorts we.e.*** analysis with Chi-square.t-te.ts,and multivariable.logistic re.re.sion analysis with odds ratios(ORs),p-value.,and 95%confide.ce.inte.vals asse.se. statistical ***:Totally,20306 re.ords for LOS gre.te. than 3 days and 15854 for re.dmission within 30 days we.e.*** and multivariable.analysis e.hibite. similar *** LOS gre.te. than 3 days,unde.going non-e.e.tive.surge.y(OR=5.247),transfusion of gre.te. than four units within 72 h prior to surge.y(OR=5.072),pre.ope.ative.re.al failure.or dialysis(OR=2.941),and poor pre.ope.ative.functional status(OR=2.540)e.hibite. the.stronge.t statistically significant *** hospital re.dmission within 30 days,loss in body we.ght gre.te. than 10%in 6 months prior to surge.y(OR=2.227)and ble.ding disorde.s(OR=2.081)e.hibite. stronge.t statistically significant ***:Multiple.pre.and pe.i-ope.ative.risk factors are.inde.e.de.tly associate. with prolonge. LOS and hospital re.dmission within 30 days of surge.y using the.Ame.ican Colle.e.of Surge.ns National Surgical Quality Improve.e.t Program *** the.risks factors that can pote.tially be.improve. prior to minimally-invasive.partial ne.hre.tomy is crucial to informing patie.t se.e.tion,optimization strate.ie.,and patie.t e.ucation.

关键词： Minimally-invasive.partial ne.hre.tomy The.Ame.ican Colle.e.of Surge.ns National Surgical Quality Improve.e.t Program Le.gthof stay Hospital re.dmission

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Ve.ification and Validation of High-Re.olution Inviscid and Viscous Conical Nozzle.Flows

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Communications on Applie. Mathe.atics and Computation 2024年第1期6卷 533-549页

作者： Luciano K.Araki Rafae. B.de.R.Borge. nicholas Dicati P.da Silva Chi-Wang Shu De.artme.t of Me.hanical e.gine.ring Federal University of ParanáCuritiba81531-980ParanáBrazil Mathe.atics and Statistics Institute Rio de Janeiro State UniversityRio de Janeiro20550-900Rio de JaneiroBrazil De.artme.t of Me.hanical e.gine.ring State University of MaringáMaringá87020-900ParanáBrazil Division of Applie. Mathe.atics Brown UniversityProvidenceRI02912USA

Capturing e.aborate. flow structure. and phe.ome.a is re.uire. for we.l-solve. nume.ical *** finite.diffe.e.ce.me.hods allow simple.discre.ization of me.h and mode. ***,the. ne.d simple. me.he.,e.g.,*** inve.se.Lax-We.droff(ILW)proce.ure.can handle.comple. ge.me.rie. for re.tangular ***-re.olution and high-orde. me.hods can capture.e.aborate. flow structure. and *** also have.strong mathe.atical and physical backgrounds,such as positivity-pre.e.ving,jump conditions,and wave.propagation *** pe.ce.ve.an e.fort toward dire.t nume.ical simulation,for instance.re.arding we.ghte. e.se.tially non-oscillatory(We.O)***,we.propose.to solve.a challe.ging e.gine.ring application without turbule.ce.*** aim to ve.ify and validate.re.e.t high-re.olution and high-orde. *** che.k the.solve. accuracy,we.solve. vorte. and Coue.te.***,we.solve. inviscid and viscous nozzle.flows for a conical *** e.ploye. the.finite.diffe.e.ce.me.hod,positivity-pre.e.ving Lax-Frie.richs splitting,high-re.olution viscous te.ms discre.ization,fifth-orde. multi-re.olution We.O,ILW,and third-orde. strong stability pre.e.ving *** showe. the.solve. is high-orde. and capture. e.aborate. flow structure. and *** can se. oblique.shocks in both nozzle.*** the.viscous flow,we.also capture. a fre.-shock se.aration,re.irculation,e.trainme.t re.ion,Mach disk,and the.diamond-shape. patte.n of nozzle.flows.

关键词： High-re.olution Compre.sible Navie.-Stoke. Fre.-shock se.aration Nozzle.flow

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