Spectral-hp element methods for CFD:
Gespeichert in:
| Späterer Titel: | Spectral/hp element methods for computational fluid dynamics |
|---|---|
| Beteiligte Personen: | , |
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY [u.a.]
Oxford Univ. Press
1999
|
| Schriftenreihe: | Numerical mathematics and scientific computation
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013121454&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Includes bibliographical references S. 375 - 385 and index |
| Umfang: | X, 390 S. graph. Darst. |
| ISBN: | 0195102266 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV019795782 | ||
| 003 | DE-604 | ||
| 005 | 20160622 | ||
| 007 | t| | ||
| 008 | 050502s1999 xx d||| |||| 00||| eng d | ||
| 010 | |a 9811180 | ||
| 020 | |a 0195102266 |9 0-19-510226-6 | ||
| 035 | |a (OCoLC)245940457 | ||
| 035 | |a (DE-599)BVBBV019795782 | ||
| 040 | |a DE-604 |b ger | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-634 |a DE-706 | ||
| 050 | 0 | |a QA911 | |
| 082 | 0 | |a 532/.05 |2 21 | |
| 100 | 1 | |a Karniadakis, George |d 1959- |e Verfasser |0 (DE-588)12348393X |4 aut | |
| 245 | 1 | 0 | |a Spectral-hp element methods for CFD |c George Em Karniadakis ; Spencer J. Sherwin |
| 264 | 1 | |a New York, NY [u.a.] |b Oxford Univ. Press |c 1999 | |
| 300 | |a X, 390 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Numerical mathematics and scientific computation | |
| 500 | |a Includes bibliographical references S. 375 - 385 and index | ||
| 650 | 4 | |a Finite element method | |
| 650 | 4 | |a Fluid dynamics | |
| 650 | 4 | |a Spectral theory (Mathematics) | |
| 650 | 0 | 7 | |a Spektraltheorie |0 (DE-588)4116561-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a hp-Methode |0 (DE-588)4592280-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerische Strömungssimulation |0 (DE-588)4690080-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Numerische Strömungssimulation |0 (DE-588)4690080-9 |D s |
| 689 | 0 | 1 | |a Spektraltheorie |0 (DE-588)4116561-5 |D s |
| 689 | 0 | 2 | |a hp-Methode |0 (DE-588)4592280-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Sherwin, Spencer J. |e Verfasser |4 aut | |
| 785 | 0 | 0 | |i 2. Aufl. u.d.T. |t Spectral/hp element methods for computational fluid dynamics |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013121454&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-013121454 | |
Datensatz im Suchindex
| _version_ | 1819354112869793792 |
|---|---|
| adam_text | Contents
1 Introduction 1
1.1 The Basic Equations of Fluid Dynamics 1
1.2 Numerical Discretizations 6
2 Fundamental Concepts in One Dimension 15
2.1 Method of Weighted Residuals 16
2.2 Galerkin Formulation 19
2.3 One Dimensional Expansion Bases 31
2.4 Numerical Integration 54
2.5 Differentiation 56
2.6 Convergence Examples 59
3 Multidimensional Expansion Bases 62
3.1 Expansions in Structured Domains 63
3.2 Expansions in Unstructured Domains 70
3.3 Expansions in Homogeneous Domains 95
4 Multidimensional Formulation 96
4.1 Local Elemental Operations 96
4.2 Global Operations 132
4.3 Boundary Representation 152
5 Geometrically Non Conforming Elements 166
5.1 The Need for Local Refinement 166
5.2 Interface Conditions and Implementation 168
5.3 Iterative Patching 170
5.4 Constrained Approximation 177
5.5 Mortar Patching 179
6 Advection Equation 187
6.1 Galerkin Discretization 189
6.2 Temporal Discretization 192
6.3 Eigen Spectrum of the Galerkin Advection Operator 195
6.4 Discontinuous Galerkin Discretization 204
6.5 Convergence 207
7 Helmholtz Equation 211
7.1 Galerkin Discretization 211
7.2 Eigen Spectrum of Laplacian Operator 215
7.3 Convergence 222
7.4 Non Smooth Domains 225
7.5 Mixed and Discontinuous Galerkin Discretization 234
viii Contents
8 Incompressible Flows 238
8.1 Variational Formulation 238
8.2 Coupled Methods for Primitive Variables 242
8.3 Splitting Methods for Primitive Variables 247
8.4 Velocity Vorticity Formulation 260
8.5 The Gauge Method 268
9 Flow Simulations 269
9.1 Exact Navier Stokes Solutions 269
9.2 Direct Numerical Simulations DNS 276
9.3 Large Eddy Simulations LES 290
9.4 Dynamic (dDNS) versus Static DNS 298
10 Compressible Flows 304
10.1 Discontinuous Solutions and High Order 304
10.2 Conservative Formulation 306
10.3 Monotonicity 317
10.4 Euler Equations 326
10.5 Navier Stokes Equations 336
10.6 Shock Fitting Techniques 344
Appendices 349
A. Jacobi Polynomials 350
B. Gauss Type Integration 353
B.I Jacobi Formulae 354
B.2 Evaluation of the Zeros of Jacobi Polynomials 356
C. Collocation Differentiation 358
C.I Jacobi Formulae 359
D. Continuous Expansion Basis 362
D.I Modal Basis 362
D.2 Nodal Basis 368
E. Characteristic Flux Decomposition 371
E.I One dimension 371
E.2 Two dimensions 372
E.3 Three dimensions 373
References 375
Index 386
|
| any_adam_object | 1 |
| author | Karniadakis, George 1959- Sherwin, Spencer J. |
| author_GND | (DE-588)12348393X |
| author_facet | Karniadakis, George 1959- Sherwin, Spencer J. |
| author_role | aut aut |
| author_sort | Karniadakis, George 1959- |
| author_variant | g k gk s j s sj sjs |
| building | Verbundindex |
| bvnumber | BV019795782 |
| callnumber-first | Q - Science |
| callnumber-label | QA911 |
| callnumber-raw | QA911 |
| callnumber-search | QA911 |
| callnumber-sort | QA 3911 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)245940457 (DE-599)BVBBV019795782 |
| dewey-full | 532/.05 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.05 |
| dewey-search | 532/.05 |
| dewey-sort | 3532 15 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01905nam a2200469 c 4500</leader><controlfield tag="001">BV019795782</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20160622 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">050502s1999 xx d||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">9811180</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0195102266</subfield><subfield code="9">0-19-510226-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)245940457</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV019795782</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA911</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">532/.05</subfield><subfield code="2">21</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Karniadakis, George</subfield><subfield code="d">1959-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)12348393X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Spectral-hp element methods for CFD</subfield><subfield code="c">George Em Karniadakis ; Spencer J. Sherwin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY [u.a.]</subfield><subfield code="b">Oxford Univ. Press</subfield><subfield code="c">1999</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 390 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Numerical mathematics and scientific computation</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references S. 375 - 385 and index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Finite element method</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fluid dynamics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Spectral theory (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">hp-Methode</subfield><subfield code="0">(DE-588)4592280-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerische Strömungssimulation</subfield><subfield code="0">(DE-588)4690080-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Numerische Strömungssimulation</subfield><subfield code="0">(DE-588)4690080-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">hp-Methode</subfield><subfield code="0">(DE-588)4592280-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Sherwin, Spencer J.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="785" ind1="0" ind2="0"><subfield code="i">2. Aufl. u.d.T.</subfield><subfield code="t">Spectral/hp element methods for computational fluid dynamics</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013121454&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-013121454</subfield></datafield></record></collection> |
| id | DE-604.BV019795782 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T12:06:02Z |
| institution | BVB |
| isbn | 0195102266 |
| language | English |
| lccn | 9811180 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013121454 |
| oclc_num | 245940457 |
| open_access_boolean | |
| owner | DE-634 DE-706 |
| owner_facet | DE-634 DE-706 |
| physical | X, 390 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| series2 | Numerical mathematics and scientific computation |
| spellingShingle | Karniadakis, George 1959- Sherwin, Spencer J. Spectral-hp element methods for CFD Finite element method Fluid dynamics Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd hp-Methode (DE-588)4592280-9 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4592280-9 (DE-588)4690080-9 |
| title | Spectral-hp element methods for CFD |
| title_auth | Spectral-hp element methods for CFD |
| title_exact_search | Spectral-hp element methods for CFD |
| title_full | Spectral-hp element methods for CFD George Em Karniadakis ; Spencer J. Sherwin |
| title_fullStr | Spectral-hp element methods for CFD George Em Karniadakis ; Spencer J. Sherwin |
| title_full_unstemmed | Spectral-hp element methods for CFD George Em Karniadakis ; Spencer J. Sherwin |
| title_new | Spectral/hp element methods for computational fluid dynamics |
| title_short | Spectral-hp element methods for CFD |
| title_sort | spectral hp element methods for cfd |
| topic | Finite element method Fluid dynamics Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd hp-Methode (DE-588)4592280-9 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| topic_facet | Finite element method Fluid dynamics Spectral theory (Mathematics) Spektraltheorie hp-Methode Numerische Strömungssimulation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013121454&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT karniadakisgeorge spectralhpelementmethodsforcfd AT sherwinspencerj spectralhpelementmethodsforcfd |